Free Printable transformations of polynomials

1.

Which transformation transforms the graph of $f(x)=x^2$ to the graph of $g(x)=(x+4)^2$ ?

a)

a vertical translation 4 units up

b)

a vertical translation 4 units down

c)

a horizontal translation 4 units to the left

d)

a horizontal translation 4 units to the right

2.

How did we transform from $y=x^3$ to $y=-3x^{3\ }$

a)

reflection in x-axis and vertical shift down

b)

reflection x-axis and vertical stretch

c)

horizontal stretch

d)

reflection x-axis and vertical shrink

3.

In the equation $f(x)=\frac{1}{2}(x+9)^4-1$ , what happens to the parabola?

a)

Reflect, horizontal shrink by 1/2, left 9, down 1

b)

Vertical shrink by 1/2, left 9, down 1

c)

Horizontal shrink by 1/2, right 9, down 1

d)

Vertical Stretch by 1/2, left 9, down 1

4.

In the equation $f(x)=5(x+3)^4-10$ what does the 5 do?

a)

Vertical stretch by 5

b)

Vertical Shrink by 5

c)

Reflect

d)

Move up 5

5.

Which equation describes the transformation of shifting $f(x)=x^3$ four units down?

a)

x³+ 4

b)

x³- 4

c)

(x - 4)³

d)

(x + 4)³

6.

Which equation describes the transformation of shifting $f(x)=x^3$ seven units up?

a)

x³+7

b)

x³-7

c)

(x-7)³

d)

(x+7)³

7.

Which equation describes the transformation of shifting $f(x)=x^3$ three units left?

a)

x³ + 3

b)

x³ - 3

c)

(x + 3)³

d)

(x - 3)³

8.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

9.

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a vertical translation 4 units up

b)

a vertical translation 4 units down

c)

a horizontal translation 4 units to the left

d)

a horizontal translation 4 units to the right

10.

Describe the transformation:

-f\left(x\right)

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

Down 1

d)

Left 1

11.

Describe the transformation:

f\left(x+2\right)

a)

Up 2

b)

Down 2

c)

Right 2

d)

Left 2

12.

Describe the transformation:

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

a)

Vertical Shrink by 1/2

b)

Vertical Stretch by 2

c)

Up 1/2

d)

Right 1/2

transformations of polynomials

Total questions: 12

Worksheet time: 18mins

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