Question

Everything is in the picture please help asap.

Answer 1

`f(x)=x^2`

Explanation:

All three functions in the figure are parabolic and thus share the parent function
`y=x^2`. They are horizontally dilated by some constant (unless they aren't) and can all be represented with
`y=\pm ax^2`, where
`a` is some constant.

Plug in point the line passes through to find that constant. For
`f(x)`, we can see the function clearly passes through (2,4):

`4=a\cdot 2^2,\\4=4a,\\a=1`

Therefore, the function of
`f(x)` is
`f(x)=1x^2=\boxed{x^2}`