Question

F(x)=x^2. which of these is g(x)?

Answer 1

According to the graph, g(x) is stretched by what seems to be 5, so g(x) is (x^2) / 25. (Square the stretching/compressing factor so 5^2 became 25). We also divide x^2 by this because it is being stretched. You multiply if it's being compressed.

You can check this by plugging 5 for x and trying to get 1.

g(x) = x^2 / 25

g(5) = 5^2 / 25 --> 25/25

g(5) = 1

g(x) = (x^2)/25