Question

F(x)=x^2. What is g(x)

Answer 1

C.) g(x) =
`(1)/(3) x^(2)`

Explanation:

f(x) =
`x^(2)`

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) =
`(1)/(3) x^(2)`