College Math CLEP Prep Practice Exam

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Which equation represents a parabola with a vertex located at (-2,3) and a y-intercept at (0,5)?

y=x^2-2x+3
y=5x^2-2x+3
y=x^2-2x+5
y=5x^2+2x+3

The correct answer is: y=x^2-2x+5

Option A and D are incorrect because they both have a positive coefficient for x^2, which would result in a parabola that opens upwards instead of downwards. Option B is incorrect because it has a y-intercept at (0,3) instead of (0,5), meaning the parabola does not pass through the given point. Therefore, option C is the correct answer as it has a -2 coefficient for x, indicating that the vertex is shifted to the right, and a y-intercept of 5, satisfying the given criteria.