College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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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