CollegeBoard

Close

Math Multiple Choice

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

  • (A) -4y2
  • (B) -2y2
  • (C) -4y
  • (D) 2y
  • (E) 4y    CORRECT ANSWER

Explanation:
The expression (-2x - 6)2 can be rewritten as [-2(x + 3)]2, which equals 4(x + 3]2.
Since y = (x + 3)2, it follows that (-2x - 6)2 = 4(x + 3)2 = 4y. The correct answer is choice (E).

© The College Board