College Algebra CLEP Prep Practice Exam

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Graph y = -2x2 + 4x + 6

  1. Parabola opening downward with a vertex of (2,4)

  2. Parabola opening upward with a vertex of (2,4)

  3. Parabola opening downward with a vertex of (2,-4)

  4. Parabola opening upward with a vertex of (2,-4)

The correct answer is: Parabola opening upward with a vertex of (2,4)

This parabola has a negative leading coefficient, which means it opens downward. The coefficient of x squared is -2, indicating that the parabola is narrow and steep. The vertex of this parabola can be found using the formula -b/2a, where a and b are the coefficients of the x squared and x terms respectively. In this case, the vertex is (2,4) as it is the point in the middle of the parabola's curve. Option A and C are incorrect because the vertex does not have a y-value of -4, and option D is incorrect because the parabola opens downward. Therefore, the correct answer is B as it correctly states that the parabola opens upward with a vertex of (2,4).

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