Quiz about Graph Absolute Value Function

Question 1

Which parent function matches the graph?

Accepted Answer

Answer

Answer

Answer

Question 2

Which parent function matches the graph?

Accepted Answer

$$f(x)=|x|$$

Answer

Answer

$$f(x)=x^2$$

Answer

$$f(x)=2^x$$

Question 3

Determine the transformation.

Accepted Answer

right 3, up 2

Answer

left 3, up 2

Answer

left 3, down 2

Answer

right 3, down 2

Question 4

Determine the transformation.

Accepted Answer

left 5, up 1

Answer

left 5, down 1

Answer

right 5, up 1

Answer

right 5, down 1

Question 5

Determine the transformation. Select all that apply.

Accepted Answer

down 2

Accepted Answer

reflection over the x-axis

Answer

up 2

Answer

left 2

Answer

right 2

Question 6

Write an absolute value function given the following transformations: reflection across the x-axis vertical shift 2 units up horizontal shift 7 units right

Accepted Answer

$$f\left(x\right)=-|x-7|+2$$

Answer

$$y=|x+2|-7$$

Answer

$$f\left(x\right)=-|x-2|+7$$

Answer

$$f\left(x\right)=|x+7|+2$$

Question 7

Write an absolute value function given the following transformations: vertical Stretch by a factor of 2 horizontal shift left 1 unit left vertical shift 9 units down

Accepted Answer

$$f(x)=2|x+1|-9$$

Answer

$$f(x)=|2x+1|-9$$

Answer

$$f(x)=|2x-1|-9$$

Answer

$$f(x)=2|x-1|-9$$

Question 8

What is the equation of the graph below?

Accepted Answer

$$f(x)=\left|x-2\right|$$

Answer

$$f(x)=\left|x+2\right|$$

Answer

$$f(x)=\left|x\right|+2$$

Answer

$$f(x)=\left|x\right|-2$$

Question 9

Which function is graphed?

Accepted Answer

f(x) = -|2x + 6| + 5

Answer

f(x) = -|2x - 3| + 5

Answer

f(x) = -|x + 5| - 3

Answer

f(x) = -2|x + 5| - 3

Question 10

Identify the vertex and axis of symmetry of the graphed function.

Accepted Answer

Vertex: (-3, 3) AOS: x = -3

Answer

Vertex: (3, -3) AOS: x = -3

Answer

Vertex: (-3, 3) AOS: -3

Answer

Vertex: (-3, 3) AOS: 0

Question 11

Which function shows horizontal translation and a vertical stretch?

Accepted Answer

f(x) = 5|x - 4| - 1

Answer

f(x) = -2|-x |

Answer

f(x) = -3|x| - 7

Answer

f(x) = -|-x + 1| + 4

Question 12

Which equation is the equation of the graphed function?

Accepted Answer

$$g\left(x\right)\ =\ -2\left|x+3\right|+3$$

Answer

$$g\left(x\right)\ =\ -2\left|x-3\right|+3$$

Answer

$$g\left(x\right)\ =\ -\left|x+3\right|+3$$

Answer

$$g\left(x\right)\ =\ \left|x+3\right|+3$$

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