Question

The graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). Which of the following equations best describes g(x)? (1 point) g(x) = (x + 3)2 g(x) = x2 − 3 g(x) = x2 + 3 g(x) = (x − 3)2

Answer 1

Answer..

D) g(x) = (x − 3)2

Answer 2

`g(x)=(x-3)^(2)`

Explanation:

Options 2 and 3 are discarded because those are traslations to up and down.

Now, the point (0,0) is in the function
`f(x)=x^(2)` and after being traslated it needs to be (3,0). The option
`g(x)=(x+3)^(2)` doesn't satisfice that because the image of 3 is 36 and needs to be 0. On the other hand,
`g(x)=(x-3)^(2)` is the only option that contains the point (3,0) so it is the correct answer.