Answer:
C.) g(x) = [tex]\frac{1}{3} x^{2}[/tex]
Step-by-step explanation:
f(x) = [tex]x^{2}[/tex]
By looking at the graph you can see that the g(x) is a compression of f(x), thus f(x) needs to be multiplied by a fraction not a whole number
so d is out
It is also a vertical compression, because the x values are affected not the y
so a is out
Finally if you find points on graph f(x) and multiply it by either 1/3 or 1/9 try and see what points correlate to graph g(x).
for example when x = 2 on f(x) y = 4, but on g(x) it would either be 4/3 or 4/9 when it is at 2.
Looking at the graph you can see g(x) is at 4/3 at x=2, thus the answer would be 1/3
C.) g(x) = [tex]\frac{1}{3} x^{2}[/tex]
