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:

$g(x)=(x-3)^{2}$

Step-by-step 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.

Answer 2

Answer:

$g(x)=(x+3)^2$

Step-by-step explanation:

$f(x) = x^2$

The graph is shifted 3 units to the right

$(x+3)^2$

$g(x)=(x+3)^2$