Free Printable Transformation of Graphs (ACT Prep)

1.

What is the parent function for: $y=\left|\frac{1}{2}x+3\right|-2$

a)

Absolute Value

b)

Quadratic

c)

Logarithmic

d)

Exponential

2.

$y=-4\left(x-5\right)^2$ Is this function vertically compressed?

a)

No, the function is not vertically stetched

b)

Yes, the function is vertically stretched by x1

c)

Yes, the function is vertically stretched by x4

d)

Yes, the function is vertically stretched by x-4

3.

$y^{\frac{1}{2}}=x$ What is the parent function of the given equation.

a)

$y=\frac{1}{2}x$

b)

$y=x^{\frac{1}{2}}$

c)

There is no parent function

d)

$y=x^2$

4.

$y=\sqrt{x+4}-12$ Describe the horizontal translation of the function:

a)

The function is being moved 4 units to the right

b)

The function is being moved 12 units to the left

c)

The function is being moved 4 units to the left

d)

The function is being 12 units to the right

5.

Reminder: $y=a\left(bx-h\right)+k$ is the generic function. Which "value" in the generic function determines horizontal compression or stretches?

a)

$\left|a\right|$

b)

$\left|b\right|$

c)

k

d)

b

6.

$y=\left(2x-7\right)^2+19$ Describe the full translation of the given function.

a)

The quadratic parent function is being horizontally compressed by x2 and being moved 7 units to the right and 19 units up.

b)

The quadratic parent function is being vertically compressed by x2 and being moved 7 units to the right and 19 units up.

c)

The quadratic parent function is being horizontally compressed by x2 and being moved 7 units to the left and 19 units up.

d)

The quadratic parent function is being horizontally stretches by x2 and being moved 7 units to the right and 19 units up.

7.

$y=\frac{1}{3}\left|x+\frac{1}{9}\right|$ What full description of transformation of the given function.

a)

The parent of the absolute function is being moved $\frac{1}{9}$ units to the right.

b)

The parent of the absolute function is being moved $\frac{1}{9}$ units to the right and is being vertically compressed by x $\frac{1}{3}$ .

c)

The parent of the absolute function is being moved $\frac{1}{9}$ units to the left and is being vertically compressed by x $\frac{1}{3}$ .

d)

The parent of the absolute function is being vertically compressed by x $\frac{1}{3}$ .

8.

$y=4$ What is the parent name of the given function?

a)

$y=4$ is not a function

b)

a constant function

c)

a line

d)

a linear function

9.

Reminder: y=a(bx−h)+k is the generic function. Which "value" in the generic function determines a vertical transformation?

a)

k

b)

$\left|a\right|$

c)

b

d)

h

10.

When does a function reflect over the y-axis?

a)

When the b value in the generic equation is postive.

b)

When the a value in the generic equation is negative.

c)

When the b value in the generic equation is negative.

d)

A function cannot be reflected across the y-axis.

Transformation of Graphs (ACT Prep)

Total questions: 10

Worksheet time: 5mins

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