College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.3 - Quadratic Functions and Their Properties - 4.3 Assess Your Understanding - Page 300: 53



Work Step by Step

If the vertex of a graph is at (m,n) then the general formula for the quadratic function is $f(x)=a(x-m)^2+n$. According to the picture the vertex of the graph is at (1,-3), hence the quadratic function becomes $f(x)=a(x-1)^2-3$. The point (3,5) is on the graph, hence if we plug in the values we get $5=4a-3$, hence a=2, hence $f(x)=2(x-1)^2-3$.
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