Describe the transformation in this function: f( x)=(x-7)^2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section: Chapter Questions
Problem 17SGR
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Describe the transformation in this function:
f( x)=(x-7)^2

Expert Solution
Given function:

f(x)=x-72.

 

Concept used:

The horizontal transformation in the function is the shifting in the function horizontally.

Suppose basic function is fx then the transformation fx-a is the rightward shifting along the x-axis by  units and if the transformation fx+a is the leftward shifting along the x-axis by  units.

Explanation:

Consider the basic function is fx=x2. The given function is f(x)=x-72.

Use the concept of horizontal transformation.

It can be observed from the given and basic function that it is the rightward shifting along the x-axis by 7 units.

 

 

 

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