## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 4 - 4.1 Graph Quadratic Functions in Standard Form - 4.1 Exercises - Skill Practice - Page 240: 14

#### Answer

The graph is attached. 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. 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. As the problem requests, the graph of $y=x^2$ is included for reference.

#### 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. 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. As the problem requests, the graph of $y=x^2$ is included for reference.

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