Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-2 Standard Form of a Quadratic Function - Practice and Problem-Solving Exercises - Page 207: 33

Answer

Refer to the graph below.
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Work Step by Step

The parabola has its vertex at $(3, 6)$ so its graph is symmetric with the line $x=3$. Having a $y$-intercept of $2$ means that the parabola contains or passes through the point $(0, 2)$. To graph the parabola, perform the following steps: (1) Plot the vertex and the $y$-intercept $(0, 2)$. Refer to the plot below. (2) Since the graph is symetric with respect to the line $x=3$, reflect the point $(0, 2)$ about the line $x=3$ to obtain the point $(6, 2)$. Refer to the plot below. (3) Connect the three points using a smooth curve to complete the graph. Refer to the graph above.
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