## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 10 - Section 10.4 - The Parabola; Identifying Conic Sections - Exercise Set - Page 802: 111

False

#### Work Step by Step

Standard form of a horizontal parabola is $x=a(y-k)^2+h$ and Standard form of a vertical parabola is $y=a(x-h)^2+k$ Here, vertex:$(h,k) or (k,h)$ when the variable $x$ is squared and the coefficient positive it defines upwards open parabola and variable $x$ is squared and the coefficient is negative it defines downward open parabola. Also, when the variable $y$ is squared and the coefficient positive it defines at open to the right parabola and variable $y$ is squared and the coefficient is negative it defines at open to the left parabola. Hence, the given equation shows a linear equation and the statement is false.

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