Exercise 7 Page 422

To graph the function we will make a table of values.

x	- 0.1 x^2	q(x)=- 0.1 x^2
- 5	- 0.1( - 5)^2	- 2.5
- 3	- 0.1( - 3)^2	- 0.9
0	- 0.1( 0)^2	0
3	- 0.1( 3)^2	- 0.9
5	- 0.1( 5)^2	- 2.5

Let's now draw the parabola that connects the obtained points. We will also draw the parent function f(x)=x^2.

From the graph above, we can note the following.

The graph of the given function opens down, and the graph of the parent function opens up.
Both graphs have the same axis of symmetry x=0.
The graph of the given function is wider than the graph of the parent function.
Both graphs have the same vertex (0,0).

From the graph and the observations above, we can conclude that the graph of q is a vertical shrink by a factor of 0.1 followed by a reflection in the x-axis of the graph of f.