Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - Guided Practice for Examples 1, 2, and 3 - Page 310: 1



Work Step by Step

If the vertex of a graph is at (m,n), then the general formula for the quadratic function is $f(x)=a(x-m)^2+n$. The vertex of the graph is at (4,-5), hence the quadratic function becomes $f(x)=a(x-4)^2-5$. The point (2,-1) is on the graph, hence if we plug in the values we get -1=4a-5, hence a=1. $f(x)=(x-4)^2-5$.
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.