College Algebra CLEP Prep Practice Exam

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What is the vertex of the parabola represented by the equation y = -5x2 + 4x + 6?

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

The correct answer is: (2,-2)

The vertex form of a parabola is y = a(x-h)2 + k, where (h,k) is the vertex. In this equation, a=-5, so the parabola opens downwards. Therefore, the vertex will be the maximum point on the parabola. (2,2) is incorrect because it would represent the minimum point on the parabola. (-2,2) and (-2,-2) are incorrect because the x-value is negative, which would result in the parabola opening to the left. Therefore, the correct answer is (2,-2).