# SAT Math Multiple Choice Practice Question 605: Answer and Explanation

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**Question: 605**

**19.**

The graph of *y* = *x*^{2} is shown in the figure above. Which of the following is the graph of *y* = -(*x* + 3)^{2} - 4?

A.

B.

C.

D.

E.

**Correct Answer:** D

**Explanation:**

**D** The answer choices are split between those that are oriented like the original graph of *y* = *x*^{2} and those that are flipped upside down. In the equation *y* = –(*x* + 3)^{2} – 4, the negative sign flips the graph upside down, so eliminate the right-side up ones in A and B. Any number inside the parentheses added to *x* moves the graph to the left. Eliminate C because it has moved to the right. Any number outside the parentheses moves the graph up or down: When the number is subtracted from the expression in parentheses, the graph moves down, which makes D correct; E is the result that would happen if 4 were added instead of subtracted.