Transformations of Functions

Transformations of Functions

9th Grade

12 Qs

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Transformations of Functions

Transformations of Functions

Assessment

Quiz

Mathematics

9th Grade

Hard

CCSS
HSF.BF.B.3, HSF-IF.C.7A

Standards-aligned

Created by

Anthony Clark

FREE Resource

12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

The graph of f is shifted 15 units to the right to create the graph of g.

The graph of f is shifted 15 units down to create the graph of g.

The graph of f is shifted 15 units up to create the graph of g.

The graph of f is shifted 15 units to the left to create the graph of g.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x) = (x-3)2 + 5.  What transformations took place from the original function f(x)?

Left 3 and up 5

Right 3 and down 5

Left 3 and down 5

Right 3 and up 5

3.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

-f(x)

f(-x)

f-1(x)

f(2x)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the transformations. 

horizontal shift to the left 2 and vertical stretch by a factor of 3

horizontal shift to the right 2 and vertical stretch by a factor of 3

horizontal shift to the right 2 and vertical shrink by a factor of 3

horizontal shift to the left 2 and vertical shrink by a factor of 3

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).

f(x) has been reflected over the x-axis.

f(x) has been reflected over the y-axis.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

a translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units to the right

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which quadratic function is represented by the graph?

y = 2(x - 4)2 + 5

y = 2(x + 4)2 + 5

y = -2(x - 4)2 + 5

y = -2(x + 4)2 + 5

Tags

CCSS.HSF-IF.C.7A

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