Chapter 9.3, Problem 1ACYP

To determine

Describe how the graph of each function is related to the graph of $f(x)=x^2\text{and}f(x)=x^2-7$

Answer to Problem 1ACYP

The graph $f(x)=x^2-7$ is shifted down 7 units from the parent function $f(x)=x^2$

Explanation of Solution

Given:

The functions $f(x)=x^2\text{and}f(x)=x^2-7$

Concept Used:

The graph of $f(x)=x^2+c$ represents a translation up or down of the parent graph. If c is positive, then translation is up and id c is negative then translation is down. Since $c=-7$, the translation is 7 units down. So, the graph $f(x)=x^2-7$ is shifted down 7 units from the parent function $f(x)=x^2$

  $f(x)=x^2-7$ is shifted down 7 units from the parent function $f(x)=x^2$