Question

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

Answer 1

A.

Explanation:

We need to find the equation where, if x is equal to 3, g(x) is equal to 1, because g(x) passes through the point (3,1)

Then, replacing x by 3 on every option we get:

`g(x)=((1)/(3)x)^2= ((1)/(3)3)^2=1\\g(x)=((1)/(9)x)^2= ((1)/(9)3)^2=(1)/(9)\\g(x)= (1)/(3)x^2= (1)/(3)3^2=3\\g(x)=3x^2=3*3^2=27`

So, the answer is A. because g(x) is equal to 1