College Algebra CLEP Prep 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 410

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

(-2, 4)

(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

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(2, -4)

(-2, -4)

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