Algebra 2 (1st Edition)

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

Chapter 4 - 4.1 Graph Quadratic Functions in Standard Form - 4.1 Exercises - Skill Practice - Page 240: 2


Look at the value of a.

Work Step by Step

We know that parabolas follow the form $y=ax^2+bx+c$. Thus, once the parabola is in this form, we can graph it. After all, we know that $-\frac{b}{2a}$ is the vertex, and c is the y-intercept. Also, if a is positive, the graph opens up, while if a is negative, the graph opens down. Knowing this, we create the graph. Thus, the value of a determines whether it is a maximum or a minimum at the vertex.
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