College Algebra CLEP Prep Practice Exam

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What is the equation of the axis of symmetry for the graph of y = -2x2 + 5x - 1?

x = 2
x = -2
y = -2
y = 2

The correct answer is: x = -2

The equation of the axis of symmetry for a parabola in the form of y = ax^2 + bx + c is x = (-b/2a). In this case, a = -2 and b = 5. Plugging these values into the equation gives x = (-5/2(-2)) = -5/(-4) = 5/4. So, the axis of symmetry for the given graph is x = 5/4. Option A, x = 2, is incorrect because it does not take into account the negative coefficient in front of x^2. Option C, y = -2, is incorrect because it is not an equation for a line. The axis of symmetry is a vertical line, not a horizontal line. Option D, y = 2, is incorrect for the same reason as option C. Thus, option B,