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: 3


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Work Step by Step

We observe that the given function is in the form $y=a(x-h)^2 + k$. The constants are $a =\frac{1}{2}, h=3, k=-4$. Because $a \lt0$, the parabola opens down. Plot the vertex $(h, k) = (3, -4)$ and draw the axis of symmetry $x =3$. Evaluate the function for two values of x. $x=0 \rightarrow y=\frac{1}{2}$ $x=1 \rightarrow y=-2$ Plot the points $(0,\frac{1}{2})$ and $(1, -2)$ and their reflections in the axis of symmetry. Draw a parabola through the plotted points.
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