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Understanding Horizontal Transformations in Functions

Understanding Horizontal Transformations in Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Olivia Brooks

FREE Resource

The video tutorial explores the concepts of horizontal scaling in linear equations by comparing functions f(x) and g(x). It reviews the slope and y-intercept of linear equations and explains how horizontal stretch and compress transformations affect the graph of a function. The tutorial provides algebraic representations and uses graphs and tables to illustrate these transformations, emphasizing the impact of multiplying x by different values.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the slope of a line indicate in a graph?

The length of the line

The speed at which the line increases or decreases

The color of the line

The width of the line

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are the functions f(x) and g(x) similar?

They have the same slope

They have the same y-intercept

They have the same x-intercept

They have the same color

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of g(x) when it undergoes a horizontal stretch?

It becomes a vertical line

It moves farther from the x-axis

It moves closer to the y-axis

It moves closer to the x-axis

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a horizontal stretch, what is the effect of multiplying x by a fraction?

The graph becomes a circle

The graph compresses horizontally

The graph stretches vertically

The graph stretches horizontally

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying x by a number greater than 1 in a function?

A horizontal compress

A vertical compress

A vertical stretch

A horizontal stretch

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the x-intercept of g(x) change during a horizontal compress?

It moves closer to the y-axis

It moves farther from the y-axis

It stays the same

It disappears

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general rule for a horizontal stretch?

g(x) = f(k * x) where k < 0

g(x) = f(k * x) where k = 1

g(x) = f(k * x) where k > 1

g(x) = f(k * x) where 0 < k < 1

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