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 graph of the equation y = -2x2 + 5x + 4?

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

The correct answer is: (-2,2)

The vertex of the graph of the equation y = -2x2 + 5x + 4 is (-2,2). The vertex is the point on the graph where the function reaches its maximum or minimum value. To find the vertex, we can use the formula x = -b/2a, where a is the coefficient of the x squared term and b is the coefficient of the x term. In this equation, a = -2 and b = 5, so x = -5/2(-2) = 5/4 = -1.25. To find the y-coordinate of the vertex, we can plug this value of x into the equation to get y = -2(-1.25)2 + 5(-1.25) + 4 = -2.5625 + (-6.25) + 4 = -4.812