Quiz about Graphical Transformations of Functions

Question 1

Describe the transformation:

$$f\left(x\right)=3x^2$$

Accepted Answer

Vertical Stretch by a Factor of 3

Answer

Vertical Compression by a Factor of 3

Answer

Horizontal Stretch by a Factor of $$\frac{1}{3}$$

Answer

Horizontal Compression by a Factor $$\frac{1}{3}$$

Question 2

Describe the transformation:

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

Accepted Answer

Shift 3 units right

Answer

Shift 3 units up

Answer

Shift 3 units down

Answer

Shift 3 units left

Question 3

Describe the transformation:

$$h\left(x\right)=x^2+7$$

Accepted Answer

Shift 7 units up

Answer

Shift 7 units down

Answer

Shift 7 units left

Answer

Shift 7 units right

Question 4

Describe the transformation:

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

Accepted Answer

Horizontal Stretch by a Factor of 2

Answer

Vertical Compression by a Factor of $$\frac{1}{2}$$

Answer

Vertical Stretch by a Factor of 2

Answer

Horizontal Compression by a Factor of $$\frac{1}{2}$$

Question 5

Describe the transformation:

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

Accepted Answer

Shift 3 units left

Answer

Shift 3 units up

Answer

Shift 3 units down

Answer

Shift 3 units right

Question 6

Describe the transformation: (click on two answers)

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

Accepted Answer

Shift 5 units up

Accepted Answer

Shift 1 unit right

Answer

Shift 1 unit left

Answer

Shift 5 units down

Question 7

Describe the transformation: (click on two answers)
$$f\left(x\right)=-x^2-7$$

Accepted Answer

Reflection over the x-axis

Accepted Answer

Shift 7 units down

Answer

Reflection over the y-axis

Answer

Shift 7 units up

Question 8

Describe the transformation: (click on two answers)
$$f\left(x\right)=\left(-0.25x\right)^2$$

Accepted Answer

Horizontal Stretch by a Factor of 4

Accepted Answer

Reflection over the y-axis

Answer

Horizontal Compression by a Factor of $$0.25$$

Answer

Reflection over the x-axis

Question 9

Describe the transformation: (click on three answers)

Accepted Answer

Vertical Stretch by a Factor of 2

Accepted Answer

Shift 5 units right

Accepted Answer

Shift 1 unit up

Answer

Reflection over the y-axis

Question 10

What is the equation of the red parabola?

Accepted Answer

$$f\left(x\right)=-\left(x+4\right)^2+5$$

Answer

$$f\left(x\right)=-\left(x+5\right)^2+4$$

Answer

$$f\left(x\right)=-\left(x-4\right)^2+5$$

Answer

$$f\left(x\right)=-\left(x+5\right)^2-4$$

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