The parabola y=x^2 is shifted down by 3 units and to the left by 2 units.What is the equation of the new parabola?

Answers

Answer 1

Answer:

y=(x+2)²-3

Step-by-step explanation:

when y=x² shifted 3 units down

its eq. is y=x²-3

when it is also shifted 2 units left then its eq. is

y=(x+2)²-3


Related Questions

Need help AsAp WIll give brainlist!!!

Answers

Answer:

-5

Step-by-step explanation:

Score in first round = +15

Scores lost in second round = -30

Score in third round = 10

Total points = 15+-30+10= -5

Aisha wants to paint the four walls of her living room. Each wall is 2.1 m high and 4.5 m long. One wall has a door of 1.8 m by 0.9 m. Tins of paint cost £10 per 1.5 L tin. Each litre of paint can cover 12 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room?

Answers

Answer:

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

Answer:  25

Step-by-step explanation:

Lewis told me

The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?

Answers

Answer: The correct answer is A

Step-by-step explanation:

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

Given that,

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex]

We have to determine,

What's  h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?

According to the question,

Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]

To find the translation in h(x) following all the steps given below.

Step1; The function h(x) is vertically stretched by 2.

                   [tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]

Step2; Vertically shift upward by 9,

                    [tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]

Step3; And a horizontal shift to the right 7 units,

                    [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]

Hence, The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

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Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{y^{3/4} }{y^{1/2} }[/tex]   Original expression

[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex]   Division Property of Exponents

[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex]   Find a common denominator (4)

[tex]y^{\frac{1}{4} }[/tex]   Simplify

[tex]\sqrt[4]{y}[/tex]   Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)

solve for 25x2 + 9 = 30x

Answers

Answer: [tex]x=\frac{3}{5}[/tex]

Step-by-step explanation:

Move all terms to one side.

[tex]25x^2+9-30x=0[/tex]

Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]

[tex](5x)^2-2(5x)(3)+3^2=0[/tex]

Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](5x-3)^2=0[/tex]

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5

Which expression is equivalent to sqrt 100

Answers

Answer:

10

Step-by-step explanation:

[tex]\sqrt{100} \\=10[/tex]

because [tex]10^2 = 100[/tex]

√10², √10×10 are the equivalent expressions of √100.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is √100.

Square root of 100.

Equivalent expressions are expressions that work the same even though they look different.

√100

Square root of ten square.

√10²

Square root of ten times of ten.

√10×10

Ten

10

Hence, √10², √10×10 are the equivalent expressions of √100.

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write a function rule that relates r and t.
Input r: -2, 0, 2, 4, 6
Output t: 0, -1, -2, -3, 1

Answers

Answer: [tex]t=-\frac{1}{2}r- 1[/tex]

Step-by-step explanation:

For a lineal equation [tex]t=mr+n[/tex]

For r=0 and t=-1

[tex]-1=m(0)+n\\n=-1[/tex]

For r=-2 and t=0

[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]

Them [tex]t=-\frac{1}{2}r- 1[/tex]

???? The output for 6 is 1????

Can someone help me please?

Answers

Answer:
X=40

Equation:
24+18+8=50
There’s a right angle so subtract 90 from 50

Which is the graph of fx=2(3)^x

Answers

Answer:

The graph is attached below. Just google it "plot(2(3)^x)"

This graph is shown in the photo below. Hope this helps you!

the diagram shows a dilation of line AB about the origin O. Determine the scale factor of the dilation by following these steps.

Answers

Answer:

The scale factor is 1.5

Step-by-step explanation:

In the picture attached, the line AB is shown.

The first 3 steps are to measure some lengths

OA = 2 units  OA’ = 3  units OB = 3 units OB’ = 4.5  unitsAB = 2.2 A’B’= 3.3

The last 3 steps are to compute these ratios

OA'/OA = 3/2 = 1.5 OB'/OB = 4.5/3 = 1.5 A'B'/AB = 3.3/2.2 = 1.5

Answer:

see explanation

Step-by-step explanation:

1. Measure these lengths:

OA - 2.0 units

OA' - 3.0 units

2. Measure these lengths:

OB - 3.0

OB' - 4.5

3. Measure these length's:

AB - 2.2

AB' - 3.3

4. Calculate the ration: OA' / OA = 1.5

5. Calculate this ratio: OB' / OB = 1.5

6. Calculate this ratio: A'B' / AB = 1.5

Hello All,


Please look at attached.


They are Maths Questions.


I will give Brainliest and also give 15 points.

Please remember to ask me questions if you do not understand


Cheers,


Jake

Answers

Answer: (going down the table)

1) 5, 8, 6, 1

2) 2, 6, 10, 2

Step-by-step explanation:

count how many are in that bracket.

EG:

1) the amount of numbers between 5 and 10, including 5

etc

need answered ASAP pleaseee

Answers

Answer:

the answer for this question is -30

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0​

Answers

Answer:

b=-a

Step-by-step explanation:

we know that b is located the same distance from 0 as another number, a, but in the opposite direction.

so the sum of the two numbers equal zero

a+b=0

a=-b or b=-a

7. The temperature in Springfield at 10:00 a.m. was 78°F. During the day, it dropped to 56°F. Write and solve an equation to
find the decrease in temperature.

Answers

Answer:

78-56=22 degrees

Step-by-step explanation:

You wanna take away 56 degrees from 78 degrees and you will get ....

y = 6x - 11
- 2x – Зу = -7

Solve the systems of equations by substitution

Answers

x=-6 the answer might not be right i’m kinda stupid ngl

The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are y = 6x - 11 and

- 2x – Зу = -7

substitute y value in second equation.

-2x-3(6x-11)=-7

Apply distributive property

-2x-18x+33=-7

Combine the like terms

-20x+33=-7

Subtract 33 from both sides

-20x=-7-33

-20x=-40

Divide both sides by 20

x=2

Now subtract x=2 in equation 1

y=12-11=1

Hence,  the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

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Please help i always give brainliets and thanks

Please answer the following algebra question ASAP not too hard

Answers

Answer:

(3)

Step-by-step explanation:

(1), (2) and (4)

can be written as Fr= p1-p2, F and r are inversely proportional

(3) r is directly proportional with F which is opposite to the given formula

hence this is incorrect

list the first 3 terms, then evaluate

Answers

Answer:

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].

Step-by-step explanation:

The given expression is

[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]

We need to find first 3 terms, then we have evaluate the value.

Here,  

[tex]a_i=1-2i[/tex]

For i=1,

[tex]a_1=1-2(1)=1-2=-1[/tex]

For i=2,

[tex]a_2=1-2(2)=1-4=-3[/tex]

For i=3,

[tex]a_3=1-2(3)=1-6=-5[/tex]

So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.

Now,  

[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]

Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.

2. A system of equations is solved by finding the intersections of when f(x) = g(x).
False
True

Answers

Answer:

true

Step-by-step explanation:

hard to explain,

hope it helps

It is true that when f(x) = g(x), the system of the equation is solved.


A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).


What is the equation?

The equation is the relationship between variables as is an example of a polynomial equation.

Let, f(x) = ax+ by  - - - - ( 1 )
     g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.

When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and  ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).


Thus, It is true that when f(x) = g(x), the system of the equation is solved.

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Examine the two-step equation. -7/4+x/4=2 Which property of operations allows you to add the same constant term to both sides? multiplication property of equality division property of equality addition property of equality subtraction property of equality

Answers

Answer:

Addition property of equality

Step-by-step explanation:

Answer:

  The correct asnwer for this question is C. addition property of equailty

Hope this helps, and have a wonderful day! :)

Step-by-step explanation:

At East Middle School 28% of the students are in the band.If 168 students are in the band,how many students go to East Middle School?
Plz Help me.I will give you max points

Answers

Answer:

600

Step-by-step explanation:

% of students in the band = 28%

No. of students who are in the band = 168

Let us take the total no. of students as x

So, 28/100×x=168

= 600

I need help on these two questions please.

Answers

Answer:

They are similar

Step-by-step explanation:

PLSSSSS HELPPPP!!! A data set has a mean of 72 and a standard deviation of 3.5. The z-score for a data point is -1.2. What is the data point?

Answers

Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.

Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.

i.e the data point is 2.5 standard deviations away from the mean 0.5.

Hope this helped!

i need help with both questions on the screen. if you can only answer one thats fine too!

Answers

Answer:

11. [tex]b = 30[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Substitute

[tex]16^{2} + b^{2} = 34^{2}[/tex]

[tex]256 + b^2 = 1156[/tex]

[tex]b^2 = 1156-256\\b^2 = 900[/tex]

[tex]b = \sqrt{900}[/tex]

[tex]b = 30[/tex]

Your welcome and don't forget to say Thanks

Inductive reasoning is when someone uses lots of data to make a conjecture

A. True
B. False

Please answer this I need help now

Answers

The answer to that question is true

The answer to that question is true.

We have given that,

Inductive reasoning is when someone uses lots of data to make a conjecture.

What is the Inductive?

Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.

We have to determine whether the statement is true or false.

The answer to that question is true.

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The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the height of the solid. A rectangular solid has length of 16 and height of 5. Which equation represents the volume of the solid, in terms of its width?

Answers

Answer:

Volume = length × width × height

length = 16

height = 5

V= 16 × w × 5

V = 80w

Hope this helps.

8. ABCD is a quadrilateral. Work out the size of y.
B
2y
A
68°
y +48°
D
C​

Answers

Answer:

y+48degrees

Step-by-step explanation:

SHOULD BE EASY!!! which one is it??? please i need help ASAP.

Answers

Answer:

Commutative property

Step-by-step explanation:

#4

What is the area of the figure shown in the picture?

Answers

Answer:

69.82in^2

Step-by-step explanation:

Rectangle

[tex]A=lw\\=5*12\\=60in^2[/tex]

Semicircle

[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]

Add altogether

60+9.82

=[tex]69.82in^2[/tex]

Which point is on the graph of the equation y = 2 x - 5?
1. (3, -1)
2. (2, -5)
3. (4, 2)
4. (2, -1)

Answers

Answer:

4

Step-by-step explanation:

the correct answer is number 4

if X = 2 ==> 2x -5 = 2(2) -5 = 4 - 5 = -1

The correct answer would be number 4.

can anyone help me and please explain

Answers

The answer is r=2/5b

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