How can I obtain the graph of f(x) = -1/2(x + 2)^2 - 5 from the graph of g(x) = x^2? please show work

Answers

Answer 1

Answer:

read the full answer

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right  2  Units

Vertical Shift: Up  5  Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

TO VIEW GRAPH TRY M-A-T-H-W-A-Y


Related Questions

What is 3/4 x -1/6 .

Answers

Answer:

[tex]--------------------------------------------[/tex]

[tex]\frac{3}{4}\cdot\frac{-1}{8}[/tex] = [tex]-0.09375[/tex] [tex]or[/tex] [tex]-\frac{3}{32}[/tex]  

[tex]\frac{3}{4}\cdot-\frac{1}{6}[/tex] = [tex]-0.125[/tex] [tex]or[/tex] [tex]-\frac{1}{8}[/tex]

[tex]--------------------------------------------[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{3}{4}\cdot-\frac{1}{6}[/tex] = [tex]-0.125[/tex] [tex]or[/tex] [tex]-\frac{1}{8}[/tex]

[tex]or[/tex]

If you meant [tex]\frac{-1}{8}[/tex], [tex]then[/tex]

[tex]\frac{3}{4}\cdot\frac{-1}{8}[/tex] = [tex]-0.09375[/tex] [tex]or[/tex] [tex]-\frac{3}{32}[/tex]  

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

the simplified form of 3/4 x - 1/6 is (9x - 2) / 12.

To simplify the expression 3 / 4 x - 1 / 6, we can find a common denominator for the fractions and then combine the terms.

The common denominator for 4 and 6 is 12.

Multiplying the first term by 3 / 3 and the second term by 2 / 2 to get the same denominator:

(3 / 4) x (3 / 3) - (1 / 6) x (2 / 2)

This gives us:

9/12 x - 2/12

Now, we can combine the terms:

(9x - 2) / 12

Therefore, the simplified form of 3/4 x - 1/6 is (9x - 2) / 12.

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Pizza Hut charges $10 per large pizza plus a $4 delivery fee. If you spent a total of $34, how many pizzas did you order

Answers

Answer:

3 pizzas

Step-by-step explanation:

34-4=30

30/10=3

Answer:

3 pizzas

Step-by-step explanation:

34-4=30 since we already know the delivery fee

30/10=3 since we have 30 dollars left without the delivery fee we are just left to divide 30 by 10 to get the total number of pizzas

v fewer than the quotient of 3 and w

Answers

The mathematical statement as an expression is 3/w - v

How to represent the mathematical statement as an expression?

The mathematical statement is given as

v fewer than the quotient of 3 and w

The quotient of numbers means division

So, we have

v fewer than the 3/w

V fewer than means - v

So, we have

3/w - v

Hence, the mathematical statement as an expression is 3/w - v

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Express into partial fractions 3x³ - 5x² - 3x - 40/( x² + 4)(x - 3)​

Answers

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3)) = 3 + (4x² - 15x - 4) / ((x² + 4) (x - 3))

Now decompose the remainder term into partial fractions:

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = (ax + b) / (x² + 4) + c / (x - 3)

Multiply both sides by the denominator on the left:

4x² - 15x - 4 = (ax + b) (x - 3) + c (x² + 4)

Expand the right side:

4x² - 15x - 4 = ax² + (b - 3a) x - 3b + cx² + 4c

4x² - 15x - 4 = (a + c) x² + (b - 3a) x - 3b + 4c

Then

a + c = 4

b - 3a = -15

-3b + 4c = -4

Solve this system to get

a = 5, b = 0, c = -1

We end up with

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = 5x / (x² + 4) - 1 / (x - 3)

and so

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3))

= 3 + 5x / (x² + 4) - 1 / (x - 3)

Write an equation of the parabola with focus (2, 2) and vertex (2, 6)

Answers

An equation of the parabola with focus (2, 2) and vertex (2, 6) is  mathematically given as

(x-2)^2=-16(y-6)

This is further explained below.

Write an equation of the parabola with focus (2, 2) and vertex (2, 6)?

Generally, A planar curve that is mirror-symmetrical and has an approximation of the form of the letter U is called a parabola.

It agrees with a number of mathematical descriptions that, at first glance, seem to be very distinct from one another, but which can be shown to describe the same curves. A point and a line are two components that may be used to describe a parabola.

In conclusion, It can be shown theoretically that the equation of the parabola with focus (2, 2) and vertex (2, 6) is as follows:

(x-2)^2=-16(y-6)

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Please help!

Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting two even numbers?

Answers

50% or 1/6

Its because half the numbers would be even.

Rearrange w=3(2a+b)-4 to make a the subject

Answers

Answer:

a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Step-by-step explanation:

Original equation: w=3(2a+b)-4

1. Distribute the 3 to the numbers inside parenthesis to get:

    w=6a+3b-4

2. Subtract 6a from both sides to get:

    -6a+w=3b-4

3. Subtract w from both sides to get:

    -6a=3b-4-w

4. Divide both sides by -6 and simplify to get:

    a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Please help me!!!!! I have a quiz due in 10 minutes!

Answers

Answer:

since it bisects angles 1 and 2 this makes them equivalent to each other

angle 1 = angle 2

and if angle 1 is equal to angle 3 than angle 2 must also be equal to angle 3

30 points! PLS HELP IF U SMART
Hunter owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $6.50. Yesterday Hunter made a total of $520 in revenue from selling a total of 120 tacos and burritos. Graphically solve a system of equations in order to determine the number of tacos sold, x,x, and the number of burritos sold, yy.

what are the two equations?

Answers

Answer:

y = 40             x = 80

Step-by-step explanation:

520 = 3.25x + 6.5y     and   x+y=120

x+y=120

x = 120-y

520 = 3.25(120-y)+6.5y

520 = 390-3.25y+6.5y

520 = 390+3.25y

130=3.25y

40 = y

x = 120-y

x = 120-(40)

x = 80

here's a graph

Y=40 x=80 ty for your time

Explain why the image of a figure after a translation is congruent to its preimage.
please does it stays the same size and shape and the only the size is different. please

Answers

Answer: The size and shape will only change when the transformation being made to the figure is a dilation. Since it is only being translated, its image and preimage are still congruent in size.

Step-by-step explanation:

For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage  of the figure remains congruent in size.

Transformation techniques

Transformation is a way of changing the size and shape of an object in an xy-plane

Some of the transformation techniques used are translations and dilation

For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage  of the figure remains congruent in size.

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please answer please​

Answers

13. 5m-10

14. 8y+16

15. -3m-12

16. a^2+3a

17. h^2-2h

18. 2m^2+8m

19. -2z+16

20. -4x^2+40

13. 5m-10
14.8V+16
15. -3m-12
16. a^2+3a
17. h^2-2h
18.2m^2+8m
19. -2z+16
20. -4x^2+40

If m= 6 what is..
36 - 6m

Answers

The answer is 0
Because m=6 therefore the equation should be 36-6(6) or 36-36

Answer:

m = -72

Step-by-step explanation:

m = 6

36 - 6m,

36 - 6(6)

using pemdas, you get 36 - 36,

-36, + -36

and you get -72,

so m = -72

hope this helps

Box method, I don’t know the missing numbers

Answers

Answer:

5) x

6) -7

7) 3

Step-by-step explanation:

if you fill in those numbers and solve, x times x = [tex]x^{2}[/tex], x times -7 = -7x, 3 times x = 3x, and -7 times 3 = -21.

subtract (3x - 7x^2 + 2) - (4x^2 - 5 + 6x)

Answers

Answer:

-3x-11x²+7

Step-by-step explanation:

Draw a line from each equation to the property of equality it illustrates.
(6 + 3) - 3 = 9 - 3 • • Addition Property of Equality
(6 + 3) × 3 = 9 × 3 • • Division Property of Equality
(6 + 3) + 3 = 9 + 3 • • Multiplication Property of Equality
(6 + 3) ÷ 3 = 9 ÷ 3 • • Subtraction Property of Equality

Answers

Answer:

1) Subtraction Property of Equality

2) Multiplication Property of Equality

3) Addition Property of Equality

4) Division Property of Equality

Step-by-step explanation:

We proceed to present the correct answer to this question and explain the reason behind the election of each option below:

1) [tex](6+3)-3 = 9 - 3[/tex] Subtraction Property of Equality

Reason - Subtraction is a particular form of addition based on the consideration of the existence of additive inverses. The subtraction property of equality is defined as:  [tex]a = b[/tex] if and only if  [tex]a+(-c) = b+(-c)[/tex].

2) [tex](6+3)\times 3 = 9 \times 3[/tex] Multiplication Property of Equality

Reason - The multiplication property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c = b\cdot c[/tex].

3) [tex](6+3)+3 = 9+3[/tex] Addition Property of Equality

Reason - The addition property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a+c = b+c[/tex].

4) [tex](6+3)\div 3 = 9 \div 3[/tex] Division Property of Equality

Reason - The division is a particular form of multiplication based on the consideration of the existence of multiplicative inverses. The division property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c^{-1} = b\cdot c^{-1}[/tex].

Is 8.78778777
a rational or irrational number?

Answers

Answer:

Yes

Step-by-step explanation:

This is rational because its in a pattern that is repeating

7th grade help me please :))

Answers

Answer:

-1/2 is the work

Step-by-step explanation:

hope this helped

Help! keep getting different answers! thanks

Answers

Answer:

it A

Step-by-step explanation:

tan c=opp c/adj c

tan c=7/16

tan c=0.44

Answer:

D

Step-by-step explanation:

The tangent of C = opposite (7) over the adjacent (18)

Tan C = 7/18

Tan C = 0.388

The closest answer is D

Help please look at picture attached I will mark brainliest!!

Answers

Answer:

ACB:64   ACD:116  GFH:64  EFG:26

Step-by-step explanation:You could see how the angles are located.

Answer:

A ) Adjacent  and supplementary  B) Adjacent n neither C) is the same as A D) Non adjacent n complementary

Step-by-step explanation:

The Small arrow is Non adjacent or adjacent and under the big one is complementary, supplementary or neither

pleaseeeeeeee help me 7th grade math

Answers

Answer:

f+1/4= -7/2

f= 15/4 or -3 3/4 as a mixed number

Hope this helps.... Stay safe and have a great week!! :D

-15/4 , if you need it as a mixed number it would be -3 3/4

Which of these components are found in the cells of all living organisms?
A. estrogen and testosterone
B. hemoglobin and lymphocytes
C. cytosine and guanine
D. cellulose and chlorophyll

Answers

Answer:

C.

Step-by-step explanation:

cytosine and guanine are 2 of the 4 main chemical bases in DNA

Can I have brainly?

will give u brainliest

What will be the location of the x value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( 24, -13)

Answers

The location of the x value of R' after using the translation rule is 28

What will be the location of the y value of R' after using the translation rule?

The translation rule is given as:

(x + 4, y - 7)

The pre-image of R is located at (24, -13)

Rewrite as

R = (24, -13)

When the translation rule is applied, we have:

R' = (24 + 4, -13 - 7)

Evaluate

R' = (28, -20)

Remove the y coordinate

R'x = 28

Hence, the location of the x value of R' after using the translation rule is 28

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The total operating cost to run the organic strawberry
farm varies directly with its number of acres. What is
the constant of variation in this scenario?
If the total operating cost for a 20-acre organic.
strawberry farm is $551,520, how many acres are on a
farm with a total operating cost of $441,216?
acres

Answers

Answer:

A. How to determine the constant

  Let the total cost be C

   Let the number of acres be A

From the question given above,

C ∝ A

C = KA

K = C / A

   Total cost (C) = $ 551520

   Number of acres (A) = 20 acres

   Conctant (K) =?

K = C / A

K = 551520 / 20

K =  27576 dollar/acre

B. How to determine the number of acres

   Total cost (C) = $ 441216

   Constant (K) =  27576 dollar/acre

   Number of acres (A) =?

C = KA

Divide both side by K

A = C / K

A = 441216 / 27576

A = 16 acres

Answer:

27,576 and 16

Step-by-step explanation:

edge

Find the x-coordinate of the vertex for y=2x(x+4)

Answers

Answer:

The x coordinate of the vertex is 0.

Step-by-step explanation:

y=2x(x+4)

y = 2x^2 + 8

Vertex form is

y = 2(x - 0)^2 + 8.

So, the vertex is at (0, 8)

12. The cost in dollars of renting a car for d days is
given by c(d) = 22d + 25. The cost in dollars of
renting a hotel room for d days is given by
h(d) = 74d.
a. What does (c + h)(d) represent in this
situation? Write and simplify the equation
for (c + h) (d)
b. For what value of d is (c + h)(d) = 600? What
does this value of d represent in this situation?

ONLY 12. B. PLEASE!! NEED BY TODAY

Answers

Answer:

12b.) d ≈ 6 (d = 5.9895833) and d represents the number of days you're renting for.

Step-by-step explanation:

Set up an equation:

(c + h)(d) = 600

(c + h)(d) = 96d + 25

96d + 25 = 600

Subtract 25 on both sides to isolate the d term:

(96d + 25) - 25 = (600) - 25

96d = 575

Divide by 96 on each side to fully isolate d:

(96d) ÷ 96 = (575) ÷ 96

d ≈ 5.9895833

Approximate to: d = 5.9896 or 6 (depending on how exact your answer has to be)

The value of d in this situation represents the number of days you're renting for.

Hope this helps! I'd appreciate brainliest but if not that's fine!

10 MINUTES LEFT PLZ HELP ME ASAP!!

What is x? Show your work.

Answers

Answer: x=5.75

Step-by-step explanation:

4x+5=28

subtract 5 from both sides

4x=23

divide both sides by 4

x=5.75

In the given figure it looks like rhombus , so we know that all sides of rhombus are equal

Thus

FG=EG

28=4x+5

28-5=4x

23=4x

x=23/4

2.1 x 2.1 -0.9 x 0.9
a)
2.1 -0.9​

Answers

3.6

2.1(2.1) - 0.9(0.9)

4.41 - 0.81 = 3.6

2(3x-4)+x-1=2(3x−4)+x−1=-16−16

Answers

Answer:

you have to give me more information

Step-by-step explanation:

Need ASAP!! Suppose cos(x) = 1/!sqr root 5
and sin(x) > 0. What is the value of tan(2x)?

Answers

-4/3

For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

Please let me know if you have any other questions

The value of tan(2x) will be -1.333.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given that,

cosx = 1/√5

x = 63.435°

Now tan2x = tan2(63.435)

tan(126.87) =-1.333

Hence the correct answer to the given question will be -1.33.

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Solve the equation: k+8=-2

Answers

subtract 8 from both sides

You get k=-10
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