Q:

How does the graph of g(x) = (x + 2)^3 βˆ’ 7 compare to the parent function of f(x) = x^3A) g(x) is shifted 2 units to the right and 7 units down.B) g(x) is shifted 7 units to the right and 2 units up.C) g(x) is shifted 2 units to the left and 7 units down.B) g(x) is shifted 7 units to the left and 2 units down.

Accepted Solution

A:
Answer:CStep-by-step explanation:The tricky part is always what is in the brackets with the x. It is highly anti intuitive. (x + 2) moves the graph left, not right as you might think. So from this, only C and D can be considered as answers.Since the 2 is with the x, that's how many units left you will go -- 2 units.C is the only possible answer.The - 7 tells you it will move 7 units down. The 7 with a minus acts the way you think it should. It goes down which is what normally happens on a graph. A mnus number outside the brackets means down.