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Graph Transformations and Reflections

Graph Transformations and Reflections

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF.BF.B.3, HSF-IF.C.7E

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.3
,
CCSS.HSF-IF.C.7E
The video tutorial explains how to transform the graph of f(x) = 2^x through vertical and horizontal shifts, as well as reflections across the x-axis and y-axis. It covers the mathematical principles behind these transformations and demonstrates them using a graphing calculator. The tutorial provides a comprehensive understanding of how to manipulate graphs using algebraic expressions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of adding a positive constant to a function f(x)?

Shifts the graph to the right

Shifts the graph downwards

Shifts the graph to the left

Shifts the graph upwards

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If f(x) is shifted down by 2 units, which of the following represents the new function?

f(x) - 2

f(x - 2)

f(x) + 2

f(x + 2)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of f(x) when you replace x with x - 4?

The graph shifts 4 units down

The graph shifts 4 units up

The graph shifts 4 units to the right

The graph shifts 4 units to the left

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which transformation reflects a function across the X-axis?

f(x - 2)

f(x) + 2

-f(x)

f(-x)

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you reflect a function across the Y-axis?

Add a constant to f(x)

Replace x with -x

Subtract a constant from f(x)

Replace f(x) with -f(x)

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of reflecting the graph of f(x) = 2^x across the X-axis?

2^-x

2^x

-2^x

-2^-x

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following represents a reflection of f(x) = 2^x across the Y-axis?

2^-x

-2^-x

-2^x

2^x

Tags

CCSS.HSF.BF.B.3

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