How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided

Answers

Answer 1

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

[tex]f(x)=x^2[/tex]

The given function is  

[tex]g(x)=(x-1)^2[/tex]

So, the given function can be written in the form of basic form as

[tex]g(x)=f(x-1)[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-1,b=0[/tex]

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer 2

Answer:

It C

Step-by-step explanation:


Related Questions

I don’t need you to explain just answer.

Answers

Y-intercept:

To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.

Slope:

To find the slope of the line, use the equation:

(y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.

Equation:

y = (y-intercept) + x(slope)

HELLO, I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ

Answers

Answer:

-1(2+x)

Step-by-step explanation:

in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x

Answer:

(-1)·2+(-1)·ₓ = -1 (2+x)

Step-by-step explanation:

distributive property: ab +ac = a(b+c)

in this case a=-1, b =2, c =x so

(-1)·2+(-1)·ₓ = -1 (2+x)

In the diagram below, if
AEB=50°, find the measure of
AED.

Answers

Answer: 130ᴼ

Step-by-step explanation:

BD is a straight line so AEB and AED add to equal 180ᴼ

180 - 50 = 130

Answer:

AED = 130

Step-by-step explanation:

AEB and AED form a straight line so they add to 180 degrees

AEB + AED = 180

50 + AED = 180

Subtract 50 from each side

AED = 180-50

AED = 130

Players on a softball team are randomly given a uniform with a two-digit number on the back. The numbers range from 10 to 99. What is the probability that the number on the uniform will end in 0?

Answers

Answer:

1/10 or 10%

Step-by-step explanation:

99 possible numbers starting from 10

1,2,3,4,5,6,7,8,9 does not count

99-9=90

90 numbers total

possible numbers with a 0: 9

9/90 = 1/10 = 10%

The shape has an area of 60 square inches. Find the value of x.

Answers

Answer:

depende de del grueso de la cometa

Step-by-step explanation:

Answer:

x= 8in

Step-by-step explanation:

area of kite = diagonal1*diagonal2/2

60. = 15 *x. /2

->x = 60*2/15=8in

Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?

Answers

Answer:

They are 30.93 in³ altogether.

Step-by-step explanation: V = 4/3 π r³

r = 2.7/2 = 1.35

π x 1.35 x 1.35 x 4/3 = 10.31 in³

10.31 x 3 = 30.93

pls help help me need help!!

Answers

Answer:

50 feet

Step-by-step explanation:

[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]

Hope this helps!

Answer:

50

Because you just a

on the -20 is a abouloute number which its going to be a postive number so i add the 20 + 30

When Grace runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 2 seconds. What percentage of races will her finishing time be faster than 79 seconds, to the nearest tenth?

Answers

Answer:

0.07

Step-by-step explanation:

Change the mixed number into an improper faction 6 5/12

Answers

Answer:

77/12

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

12 × 6 = 72

Step 2

Add the answer from Step 1 to the numerator

72 + 5 = 77

Step 3

Write answer from Step 2 over the denominator

77/12

=12×6+512= 77/12

Answer:

77/12

Step-by-step explanation:

You multiply the whole number by the station's denominator. You will get 72.

Then you add the 72/12 and 5/12 together.

You will get 77/12.

Can someone help me with these two questions?

Answers

Answer:

17) A(-1,1) B(-1,4) C(5,1)

18) (From origin moving rightwards)

     A(0,0) B(a, 0) C(a,a) D(0,a)

Step-by-step explanation:

17) You just count the steps, how many steps left, right, up, or down

18) The first point is at the origin, so 0,0

    The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.

     The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.

      The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.

The figure shown represents the pattern of a glass ceiling. Based on the markings shown, which triangles can be proven congruent? answers: A) ΔQNI ≅ ΔNPK by SSS B) ΔJKL ≅ ΔNKP by SSA C) ΔJKL ≅ ΔNKP by AAS D) ΔPNK ≅ ΔIKN by SAS

Answers

Answer:

D) ΔPNK ≅ ΔIKN by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.

Answer:

answer is C PNK=IKN by SAS

Select the best answer for the question
9. The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window?
A. 20 inches
fold
B. 15 inches
C. 60 inches
D. 40 inches

Answers

Answer:

the answer is20 inches

Step-by-step explanation:

a square has 4 sides so you divide the total of 80 by 4.

80÷4=20

(23+8x-x²)+(x³+x²+34-18x)

Answers

Answer:

x^3 -10x + 57

Step-by-step explanation:

Allie and Samuel are rock climbing

*Allie climbs 5 1/2 meters in the first 1/4 hour.

*Samual climbs 14 1/4 meters in the first 3/4 hour.


each person's rate stays the same for the first hour they climb.


Part A


Which statements are true?


Select all that are Correct.

A. Samuel climbs at a rate of 19 hours per hour

B. Allie takes 1/22 of an hour to climb one meter.

C. Allie climbs at a rate of 1/22 meter per hour

D. Samuel climbs at a rate of 1/19 meter per hour

E. Samuel takes 1/19 of an hour to climb one meter

Answers

Answer:

A and E

Step-by-step explanation: I done this before

The statements that are true are:

Allie takes 1/22 of an hour to climb one meter.

Samuel takes 1/19 of an hour to climb one meter.

Options B and E are correct.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numberator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

For Allie.

She climbs 5(1/2) meters in 1/4 hour.

This means,

11/2 meters = 1/4 hour

22 meters = one hour

Rate = 22 meters per hour.

We can also say,

To climb one meter, she takes 1/22 of an hour.

For Samuel.

He climbs 14(1/4) meters in 3/4 hour,

This means,

57/4 meters = 3/4 hour

19 meters = one hour

Rate = 19 meters per hour.

We can also say,

To climb one meter, he takes 1/19 of an hour.

Thus,

Allie takes 1/22 of an hour to climb one meter is true.

Samuel takes 1/19 of an hour to climb one meter is true.

Learn more about fractions here:

https://brainly.com/question/24370499

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2 Points
What is the slope of the line that contains the points in the table?
y
23
-5
-2
14
1
5
3
A. 3
B. -100
D. -3

Answers

Answer:

D. -3

Step-by-step explanation:

The table is:

x  |  y

-5 | 23

-2 | 14

 1 | 5

To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:

slope = (y2 - y1)/(x2 - x1)

Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:

slope = (5 - 14)/(1 - (-2)) = -3

Evaluate the following expression.
5-1
50

Answers

Step-by-step explanation:

Hope this is correct

Hope it helps you

what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.

Answers

Answer:

Step-by-step explanation:

r = 8 in

h = 5 in

Volume of cylinder = πr²h

                                = π * 8 * 8* 5

                                = 320π in³

Answer:

v=hpir^2

h=5

r=8

v=5pi8^2

v=5pi64

v=320pi cubic inches

Step-by-step explanation:

Which transformation does not match blue figure to the red flag

Answers

Answer:

the second one trust me

Step-by-step explanation:

which graph represents the function? NEED ANSWER ASAP 20 POINTS!!

Answers

Answer:

oof i have no clue

Step-by-step explanation:

sorry never learned this type of graphs good luck tho

A graph shows an x- and y-axis. The data line is in the shape of a "vee." The begins above the x-axis and to the left of the y-axis, extends below the x-axis to a point on the y-axis, and ascends above the x-axis to the right of the y-axis. Which statement describes the relationship between x and y? As x increases, y decreases. As x increases, y increases. As x increases, y increases and then decreases. As x increases, y decreases and then increases.

Answers

Answer:

The answer in letter form is C.

Step-by-step explanation:

he explains it in the other

The statement that best describes the relationship between x and y is:

"As x increases, y increases and then decreases".

What is the description of the data line forming a "vee" shape?

The description of the data line forming a "vee" shape indicates that there is a turning point where the line changes direction. This means that the relationship between x and y is not a simple one where y always increases or always decreases as x increases. Instead, the relationship is more complex and involves both increasing and decreasing values of y as x increases.

At the start of the data line, where it begins above the x-axis and to the left of the y-axis, x is small and y is relatively large. As x increases, the data line descends below the x-axis to a point on the y-axis. This means that there is a point where y is at its minimum value, and this occurs when x is larger than the starting point. After this point, the data line ascends above the x-axis to the right of the y-axis, which means that y increases again as x increases.

Therefore, the statement that best describes the relationship between x and y is:

C. As x increases, y increases and then decreases.

Learn more about the graph of vee shape here:

https://brainly.com/question/17102786

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Which could be the area of a face of the rectangular prism?

A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

[Not drawn to scale]
5 m2
6 m2
7 m2
9 m2

Answers

Answer:

6m squared

Step-by-step explanation:

cause one of the faces is 2 times 3 and that is 6m squared

Answer:

8 m^2, 12 m^2, or 6 m^2

Step-by-step explanation:

4x2=8 m^2

4x3=12 m^2

2x3=6 m^2

It depends which face you want the area of

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

In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?

plz help me

Answers

Answer:

(1-20%)x or (1-0.2)x or x-0.2x

Step-by-step explanation:

select the postulate or theorem that you can use to conclude that the triangles are similar.

Answers

Answer:

First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Let's take two triangles that are similar:

Taking two triangles:

[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]

If

[tex]\angle A \displaystyle \cong \angle P[/tex]

and

[tex]\angle C \displaystyle \cong \angle R[/tex]

Then,

[tex]{\triangle ABC \sim \triangle PQR[/tex]

It is Angle-Angle (or AA) Theorem.

It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.

welp lol <3 find the value of x that makes j||k

Answers

Answer: C. 42

Step-by-step explanation:

(3x + 3) is the same angle as 129.

So, you have to equal them to each other.

3x + 3 = 129

Now you solve.

Subtract 3 from each sides.

3x = 126

Divide 3 from each side.

x=42

Answer:

x = 42°

Step-by-step explanation:

J//k if the the two corresponding angles are equal

which means 3x + 3 = 129

solving 3x + 3 = 129

3x = 129 - 3

3x = 126

then

x = 126/3

 = 42°

PLEASE HELP! SEE ATTACHMENT
it's algebra graphing

Answers

Answer:

a- g(x)= 4/5 x -3

b- slope is 4/5

c-  vertical intercept is y= -3 when x=0

Step-by-step explanation:

Vertical compression : 4/5 f(x)

shift left you add f(x) +1

shift down you subtract : f(x)-1

the result is g(x) = 4/5 f(x) +1-4

I need some help with this question.

Answers

Where’s the picture or the question ? Idk how to help you if there isn’t no picture or question

which inequality is represented by this graph? (0,1) (3,0)

Answers

Answer:

y ≤ -1/3x +1

Step-by-step explanation:

We have a solid line so the inequality has an equals sign.

The graph is shaded underneath so y is less than or equal to

y ≤ -1/3x +1

Answer:

Y<-1/3x+1

Step-by-step explanation:

The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line

I think it is 15 but I want to see what you guys get and break it down please because sometimes people will say what they got and y'all be saying "yeah it's correct yeah" when it's really not. ​

Answers

Answer:

10 + 10 + 10 = 30

5 + 5 + 10 = 20

4 + 4 + 5 = 13

5 + 19 x 2 = 43

Step-by-step explanation:

Pair of shoes = 10

Boy = 5

2 snow cones = 4

One shoe = 5

boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43

I really hope this helps!

Answer:

30/3=10

two shoes is 10

20-10=10

10/2=5

each person is 5

13-5=8

8/2=4

Two cones is 4

2 (only 1 cone) x 19(two cones is 4 + each person 5 =9. 9 + 10 because of the two shoes = 19) =  38

38+5(only 1 shoe) = 43

Hope this helps

Step-by-step explanation:

What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?

Answers

Answer:

6*3*4 = 24*3 = 72 in^3

Answer:

72 cubic inches

Steps:

6*3*4 = 72

Description:

So its asking what is the volume. We know that we need to multiply. SO we get all the numbers from the question that is 6, 3 and 4. Multiply 6 times 3 times 4. You will get the answer that is 72.

Answer: 72 cubic inches

Please mark brainliest

Hope this helps.

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