Answer:
Please see the plot below.
Looking at the graph you can see that the function f(x) is a reflection on the x axis of the function g(x).
Step-by-step explanation:
To plot the functions to compare graphs you should give values to x.
For example:
For [tex]f(x)=2x^{2}[/tex], when x=-5:
[tex]f(-5)=2*(-5)^{2}[/tex]
[tex]f(-5)=2*(25)[/tex]
[tex]f(-5)=50[/tex]
For [tex]f(x)=-2x^{2}[/tex], when x=-5:
[tex]f(-5)=-2*(-5)^{2}[/tex]
[tex]f(-5)=-2*(25)[/tex]
[tex]f(-5)=-50[/tex]
And giving different values you can construct the following table to plot the graphs:
x f(x)=2x^2 f(x)=-2x^2
-5 50 -50
-4 32 -32
-3 18 -18
-2 8 -8
-1 2 -2
0 0 0
1 2 -2
2 8 -8
3 18 -18
4 32 -32
5 50 -50
Please see the plot below.
Looking at the graph you can see that the function f(x) is a reflection on the x axis of the function g(x).
