College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP exam with our comprehensive quiz. Our engaging questions, hints, and detailed explanations will help ensure you're ready to ace your test and earn college credit faster!

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What is the vertex of the parabola y = -2x^2 + 8x + 4?

(-2, 4)
(2, 4)
(2, -4)
(-2, -4)

The correct answer is: (2, 4)

The vertex of a parabola is the highest or lowest point on the graph, where the parabola changes direction. In this case, the parabola opens downwards, so the vertex is the highest point on the graph. The x-coordinate of the vertex can be found by using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In y = -2x^2 + 8x + 4, a = -2 and b = 8, so the x-coordinate of the vertex is x = -8 / (2 * -2) = 2. To find the y-coordinate, substitute the x-coordinate into the original equation. y = -2(2)^2 + 8(2) + 4 = 4. Therefore, the vertex is (2, 4) and option B is