Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.4 - The Parabola; Identifying Conic Sections - Exercise Set - Page 801: 96


See the explanation below.

Work Step by Step

Standard form of a parabola is $x=a(y-k)^2+h$ and Here, vertex:$(h,k) or (k,h) $ In order to get the vertex we will have to arrange the equation in the standard form of a parabola, for this need to complete the square for $y^2$. For example: Since we are given $x=-2y^2+4y+6$ It can be written as: $x=-2y^2+4y+6$ or, $x=-2(y^2-2y+1)+6+2$ or, $x=-2(y-1)^2+8$ ; complete the square for $y^2$ Compare the given equation with the standard form. Thus, vertex: $(8,1)$
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.