# Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Practice and Problem-Solving Exercises - Page 538: 15

The graph and data table are shown below

#### Work Step by Step

To graph the given equation we calculate the domain and range and plot the points. We calculate the range for the values x= -3, 0, 3 $y= -\frac{1}{3}x^{2}$ x=-3 $y= -\frac{1}{3}(-3)^{2}$ $y= -\frac{1}{3}(-3)(-3)$ $y= -3$ x=0 $y= -\frac{1}{3}(0)^{2}$ $y= -\frac{1}{3}(0)(0)$ $y= 0$ x=3 $y= -\frac{1}{3}(3)^{2}$ $y= -\frac{1}{3}(3)(3)$ $y= -3$ (-3,-3) (0,0) (3, -3) We plot the points and connect the graph to get the final graph

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