Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5? The graph shifts 7 units left. The graph shifts 5 units left. The graph shifts 2 units up. The graph shifts 3 units up. (pls help and explain how you got your answer as well if you could)

Original given function is f(x) = 2x − 2 and transformed function g(x) = 2x + 5.

Step-by-step explanation:

Please see..

If we add 7 in f function, we get

f(x) = 2x − 2 +7 = 2x + 5 and that is the g function.

According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.

We added 7 to f function.

Therefore, it is being shifted 7 units up.

Note: We are not given correct answer in given options.

The domain is[ -3, ♾)

Step-by-step explanation:

The graph above shows the graph of it parent function,

It includes x=0 because 0 is a perfect square.

Now consider the transformed function

There is two ways to solve this:

Way#1. Algebra.

Remeber that we can't take the square root of a negative number.

(i.e We can but it isn't graphable on a Cartesian coordinate plane).

We can take the square root of 0 so we must set the number in the radical equal to 0.

We include the point at x=-3, so we put a [ in front of -3. This number can accept any number as we approach positive infinity. So the domain is

♾)