SAT Math Multiple Choice Question 204: Answer and Explanation

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Question: 204

9. If the equation for a parabola is y = 5(x - 3)2 - 3, which of the following points represents the parabola's vertex?

  • A. (3, -3)
  • B. (3, 0)
  • C. (0, -3)
  • D. (-3, 3)

Correct Answer: A

Explanation:

A Whenever the question includes variables and the answers are numbers, think Plugging In the Answers. In (A), x = 3 and y = -3. Plug these numbers into the equation to get -3 = 5(3 - 3)2 - 3. Solve the right side of the equation to get -3 = 5(0)2 - 3 or -3 = 0 - 3. The correct answer is (A). None of the other points work when plugged into the equation, so eliminate (B), (C), and (D).

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