# Math Multiple Choice

If *y* = (*x* + 3)^{2}, then (-2*x* - 6)^{2} must equal which of the following?

- (A) -4
*y*^{2} - (B) -2
*y*^{2} - (C) -4
*y* - (D) 2
*y* - (E)
**4**CORRECT ANSWER*y*

**Explanation:**

The expression (-2*x* - 6)^{2} can be rewritten as [-2(*x* + 3)]^{2}, which equals 4(*x* + 3]^{2}.

Since *y* = (*x* + 3)^{2}, it follows that (-2*x* - 6)^{2} = 4(*x* + 3)^{2} = 4*y*. The correct answer is choice (E).