Step-by-step explanation:
f(x) = x^2
g(x)= 1/3 f(x) = 1/3 x^2
First lets make a table for f(x)= x^2
Lets pick some numbers for x and find out y
x y=x^2
-3 (-3)^2 = 9
-1 1
0 0
1 1
3 9
Now we use the same x values and make a table for g(x)
x [tex]g(x)= \frac{1}{3} x^2[/tex]
-3 [tex]g(x)= \frac{1}{3}(-3)^2=3[/tex]
-1 [tex]g(x)= \frac{1}{3}(-1)^2=\frac{1}{3}[/tex]
0 0
1 [tex]g(x)= \frac{1}{3}(1)^2=\frac{1}{3}[/tex]
3 [tex]g(x)= \frac{1}{3}(3)^2=3[/tex]
Graph the above table
