Entry Exam Category: High School Equivalency Exams
Course: HiSET
Exam: HiSET Math Practice Test

Practice Question

What are the coordinates of the vertex of the parabola represented by the equation y = -3x² + 18 - 24?

Answer Choices

  • A: (6,-24)
  • B: (4,0)
  • C: (3,3)
  • D: (2,0)
  • E: (-3,-105)

Correct Answer: C

Rationale: For a parabola y = ax² + bx + c, the x-coordinate of the vertex is -b/(2a). Here, a = -3, b = 18, c = -24, so x = -18/(2(-3)) = 18/6 = 3. Substitute x = 3 into y = -3(3)² + 18(3) - 24 = -3(9) + 54 - 24 = -27 + 54 - 24 = 3. Thus, the vertex is (3, 3). Checking options: A (6, -24), B (4, 0), D (2, 0), E (-3, -105) do not match the calculated vertex.

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