Question

Help with pic below !

Answer 1

Because you are shifting the function to the left by 2 units, you will represent that as:

Because you are shifting the function to the left by 2 units, you will represent that as:
$f(x) = (x+2)^2-7$

Generally, if you are moving to the left, it's seen going in the negative direction, but remember since f(x) is going to the left, it means that you are solving for x. So, solve for x in (x + 2), you get x = -2. Hopefully this makes sense.

The, you are dilating the entire function in which you have to multiply the entire thing. Let's do it:
$f(x) = 3((x+2)^2-7)$

Which is equal to:
$f(x) = 3(x+2)^2 -21$

So, your answer is D. If anything doesn't make sense to you, please tell me, I'd be happy to explain!