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 - Guided Practice for Examples 1 and 2 - Page 246: 1

Answer

See the graph

Work Step by Step

We observe that the given function is in the form $y=a(x-h)^2 + k$. The constants $a =1, h=-2, k=-3$. Because $a \gt 0$, the parabola opens up. Plot the vertex $(h, k) = (-2, -3)$ and draw the axis of symmetry $x =-2$. Evaluate the function for two values of x. $x=-3 \rightarrow y=-2$ $x=0 \rightarrow y=1$ Plot the points $(-3,-2)$ and $(0, 1)$ and their reflections in the axis of symmetry. Draw a parabola through the plotted points.
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