Quiz about Parent Function Transformations Graphs

Question 1

A student graphed $$f\left(x\right)=x$$ and $$g\left(x\right)=f\left(x\right)+3$$ on the same coordinate grid. Which statement describes how the graphs of $$f$$ and $$g$$ are related?

Accepted Answer

The graph of $$f$$ is shifted 3 units up to create the graph of $$g$$ .

Answer

The graph of $$f$$ is steeper than the graph of $$g$$ .

Answer

The graph of $$f$$ is shifted 3 units down to create the graph of $$g$$ .

Answer

The graph of $$f$$ is less steep than the graph of $$g$$ .

Question 2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

Accepted Answer

g(x) is shifted down 6 units

Answer

g(x) is shifted up 6 units

Answer

g(x) is shifted left 6 units

Answer

g(x) is shifted right 6 units

Question 3

Describe the transformation from the parent function: y = 3x + 5

Accepted Answer

Steeper; Shift up 5 units

Answer

Steeper; Shift down 5 units

Answer

Flatter; Shift up 5 units

Answer

Flatter; Shift down 5 units

Question 4

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

Graph g shifted down 4 units

Answer

Graph g shifted down 3 units

Answer

Graph g shifted up 4 units

Answer

Graph g reflected

Question 5

Describe the transformation from the parent function.

Accepted Answer

Shift down 2 units

Answer

Reflection

Answer

Vertical stretch

Answer

Shift up 2 units

Question 6

Describe the transformation from the parent function: y = x + 10

Accepted Answer

Shift up 10

Answer

Steeper by 10

Answer

Shift down 10

Answer

Flatter by 10

Question 7

Describe the transformation from the parent function.

Accepted Answer

Steeper/Vertical stretch

Answer

Flatter/Vertical compress

Answer

Shift up 2 units

Answer

Shift down 2 units

Question 8

Which function is best represented by the graph of g?

Accepted Answer

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

Answer

$$g\left(x\right)=-f\left(x\right)$$

Answer

$$g\left(x\right)=\frac{1}{2}f\left(x\right)$$

Answer

$$g\left(x\right)=2f\left(x\right)+4$$

Question 9

Linear parent function $$f\left(x\right)=x$$ is graphed on the grid. Which graph best represents $$g\left(x\right)=-\frac{1}{3}f\left(x\right)$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 10

Linear parent function $$f\left(x\right)=x$$ is graphed on the grid. Which graph best represents $$g\left(x\right)=-f\left(x\right)-3$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 11

What are the transformations of this functions compared to the parent function?

Accepted Answer

Shifted left 2

Answer

Shifted down 2

Answer

Shifted up 2

Answer

Shifted right 2

Question 12

What are the transformations of this functions compared to the parent function?

Accepted Answer

Reflected over the x-axis, vertical stretch, and shifted right 5

Answer

Shifted right 5, shifted down 2, and reflected over the x-axis

Answer

Reflected over the x-axis, vertical stretch, and shifted left 5

Answer

Shifted right 5, shifted down 2

Question 13

Describe the transformation.

Accepted Answer

Left 1unit, Reflect over x-axis, up 2 units

Answer

Left 1unit, Reflect over y-axis, down 2 units

Answer

Right 1 unit, Reflect over x-axis, up 2 units

Answer

Right 1unit, Reflect over y-axis, up 2 units

Question 14

Name the parent function.

Accepted Answer

square root

Answer

cube root

Answer

quadratic

Answer

cubic

Answer

linear

Parent Function Transformations Graphs

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