Question

how would I figure this out (this assignment is just a practice but I dont have any notes to look off of and I'm confused)

Answer 1

We have the following:

We have the following points that are on the graph:

(-2, 1); (0, -1); (2, 1); (4, 3)

We must evaluate each point in the functions to know which is correct

F

y = x - 1

$y=-2-1=-3$

the first point does not match, therefore this function is not correct

H

y = x^2 - 1

$y=(-2)^2-1=4-1=3$

the first point does not match, therefore this function is not correct

G

y = |x| - 1

$\begin{gathered} y=|-2|-1=2-1=1 \\ y=|0|-1=0-1=-1 \\ y=|2|-1=2-1=1 \\ y=|4|-1=4-1=3 \end{gathered}$

In this function, all the points coincide, therefore the answer to the question is the function G