## College Algebra (11th Edition)

Published by Pearson

# Chapter 2 - Section 2.7 - Graphing Techniques - 2.7 Exercises - Page 256: 61

#### Answer

See the picture below.

#### Work Step by Step

By calculating the values of $f(x)=2x^2-1$ (with blue) and $g(x)=x^2$ (with red) we can see that the following equation is true: $2g(x)-1=f(x)$ In order to graph the parent function , here is the table of values: $g(-2)=-2^2=4$ $g(-1)=-1^2=1$ $g(0)=0^2=0$ $g(1)=1^2=1$ $g(2)=2^2=4$ Therefore the graph of $f(x)$ is exactly the same as the graph of $g(x)=x^2$ but is wider (is stretched vertically by a factor of 2) and is translated 1 unit down.

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