Quiz about Function Transformations

Question 1

Which function represents the dotted graph?

Accepted Answer

$$y=f\left(x-1\right)-3$$

Answer

$$y=f\left(x-1\right)+3$$

Answer

$$y=f\left(x+1\right)-3$$

Answer

$$y=f\left(x+1\right)+3$$

Question 2

Which function represents the dotted graph?

Accepted Answer

$$y=f\left(x-5\right)+2$$

Answer

$$y=f\left(x+5\right)-2$$

Answer

$$y=f\left(x-5\right)-2$$

Answer

$$y=f\left(x+5\right)+2$$

Question 3

Which function represents the dotted graph?

Accepted Answer

$$y=f\left(x-4\right)-5$$

Answer

$$y=f\left(x+4\right)+5$$

Answer

$$y=f\left(x+4\right)-5$$

Answer

$$y=f\left(x-4\right)+5$$

Question 4

Which function represents the dotted graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Which function represents the dotted graph?

Accepted Answer

$$y=\left(x-1\right)^2+2$$

Answer

$$y=\left(x+1\right)^2+2$$

Answer

$$y=\left(x-1\right)^2-2$$

Answer

$$y=\left(x+1\right)^2-2$$

Question 6

Which function represents the dotted graph?

Accepted Answer

$$y=\left(x+5\right)^2-1$$

Answer

$$y=\left(x+5\right)^2+1$$

Answer

$$y=\left(x-5\right)^2+1$$

Answer

$$y=\left(x-5\right)^2-1$$

Question 7

Describe the transformations given the equation:

$$y=\left(x-2\right)^2+1$$

Accepted Answer

Right 2

Accepted Answer

Up 1

Answer

Left 2

Answer

Down 1

Answer

Reflected

Question 8

Describe the transformations given the equation:

$$y=-\left(x+4\right)-3$$

Accepted Answer

Left 4

Accepted Answer

Down 3

Accepted Answer

Reflected

Answer

Right 4

Answer

Up 3

Question 9

Describe the transformations given the equation:

$$y=\left(x+6\right)+4$$

Accepted Answer

Left 6

Accepted Answer

Up 4

Answer

Right 6

Answer

Down 4

Answer

Reflected

Question 10

Describe the transformations given the equation:

$$y=-\sqrt[]{x-5}+3$$

Accepted Answer

Right 5

Accepted Answer

Up 3

Accepted Answer

Reflected

Answer

Left 5

Answer

Down 3

Question 11

Which equation matches the description of the transformation:

1) Compressed

2) Reflected over the x-axis

3) Shifted left 4 units

4) Shifted down 2 units

Accepted Answer

$$f\left(x\right)=-0.5\left(x+4\right)^2-2$$

Answer

$$f\left(x\right)=0.5\left(x+4\right)^2-2$$

Answer

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

Answer

$$f\left(x\right)=-0.5\left(x-4\right)^2-2$$

Question 12

Which equation matches the description of the transformation:

1) Stretched

2) Reflected over the x-axis

3) Shifted right 5 units

4) Shifted up 2 units

Accepted Answer

$$f\left(x\right)=-2\left(x-5\right)^2+2$$

Answer

$$f\left(x\right)=2\left(x+5\right)^2+2$$

Answer

$$f\left(x\right)=-2\left(x+5\right)^2-2$$

Answer

$$f\left(x\right)=2\left(x-5\right)^2+2$$

Question 13

Which equation matches the description of the transformation:

1) Shifted right 5 units

2) Shifted down 7 units

Accepted Answer

$$y=\sqrt[]{x-5}-7$$

Answer

$$y=\sqrt[]{x-7}-5$$

Answer

$$y=\sqrt[]{x+5}-7$$

Answer

$$y=\sqrt[]{x-7}+5$$

Question 14

Describe the transformation given the equation: $$f\left(x\right)=0.5\left|x+4\right|-6$$

Accepted Answer

Compressed, left 4, down 6

Answer

Stretched, right 4, down 6

Answer

Compressed, right 4, down 6

Answer

Stretched, left 4, down 6

Question 15

Describe the transformation given the equation: $$f\left(x\right)=-3\left|x+4\right|+2$$

Accepted Answer

Stretched, reflected, left 4, up 2

Answer

Stretched, right 4, down 2

Answer

Compressed, right 4, up 2

Answer

Compressed, reflected, left 4, up 2

Answer

Stretched, reflected, right 4, up 2

Function Transformations

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