The function (x)=(x+2)^2-4

Options 2 and 3 are correct

Step-by-step explanation:

Let's graph the parent function and the new function

Parent function: f(x) = x²New function: g(x) = (x+2)² - 4

The parent function is in red

The new function is in blue

Let's go through the options given

1) This is incorrect. The function g(x) is being translated 2 units to the left and 4 units down2)This is correct. It is the correct translation.3) It's correct. The "u" part of the graph faces up, or the sides go up.4) Incorrect. The graph opens upwards, not downwards.5) Nope. The graph is being translated, not dilated.

-Chetan K