## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 197: 97b

#### Answer

The graph passes through the origin. The graph is symmetric with respect to the $y$-axis.

#### Work Step by Step

We are given the function: $y=x^2$ Graph the function. The graph passes through the origin. The graph is symmetric with respect to the $y$-axis. Comparison of the given graphs: - all graphs pass through the origin - the graphs of even power ($y=x^2,y=x^4,y=x^6$) are symmetric with respect to the $y$-axis, while the graphs of odd power ($y=x,y=x^3,y=x^5$) are symmetric with respect to the origin. - as the power increases, the graphs become steeper

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