College Algebra CLEP Prep Practice Exam

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What is the vertex of the parabola y = -2x2 + 7x + 4?

(-4,0)
(-1,4)
(1,4)
(4,0)

The correct answer is: (-1,4)

The vertex of a parabola is the highest or lowest point on the curve, where the graph changes direction. In this case, the parabola is in the form y = ax^2 + bx + c, where a = -2, b = 7, and c = 4. To find the x-coordinate of the vertex, we can use the equation x = -b / 2a. Substituting in the values, we get x = -7 / 2(-2) = 7/4. To find the y-coordinate, we can substitute this value back into the equation y = -2(7/4)^2 + 7(7/4) + 4 = -49/8 + 49/4 + 4 = -49/8 + 196/8 + 32/8