## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 4 Quadratic Functions and Factoring - 4.1 Quadratic Functions in Standard Form - 4.1 Exercises - Skill Practice - Page 241: 49

#### Answer

The graph is attached.

#### 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 x coordinate of 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. Recall, if there is ever any difficulty with graphing, one can always create a table of values and plot those points to see the shape of the curve. Note, in the given graph, the axis of symmetry is the purple line, and the black point is the vertex.

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