Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix C - Graphs of Second-Degree Equations - C Exercises: 11

Answer

Parabola
1520774597

Work Step by Step

The vertex, the point where the parabola changes direction, is the origin. We see that the parabola $y = ax^{2} $opens upward if $a>0$ and downward if $a <0$ . Given: $y = -x^{2} $ Here, $a=-1$ This represents the equation of a parabola which has the standard form as follow: $y=a(x-h)^{2} +k $ vertex, $(h,k) =(0,0)$ The graph for $y = -x^{2} $ will be a parabola acting downwards.
Small 1520774597
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.