Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.2 Graph Quadratic Function in Vertex or Intercept Form - 4.2 Exercises - Skill Practice - Page 249: 17


The graph is attached.

Work Step by Step

This function is in the form $a(x-p)(x-q)$. We know that the axis of symmetry is $\frac{p+q}{2}$. We also know that p and q are the x coordinates of the x intercepts. Also, we know that $a$ determines how steep the curve is, and we know that if $a$ is positive, the graph faces up, while if $a$ is negative, the graph faces down. Note, in the given graph, the axis of symmetry is the purple line, and the black point is the vertex. The x-intercepts are the red and blue points.
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