College Algebra CLEP Prep Practice Exam

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Which of the following is equivalent to y = 3x2 - 4x + 8?

  1. y = (x - 4)2 + 4

  2. y = (x - 4)2 - 4

  3. y = (x + 4)2 + 4

  4. y = (x + 4)2 - 4

The correct answer is: y = (x - 4)2 + 4

This is because the given equation represents a parabola with a horizontal axis of symmetry, and the standard form of a parabola equation is y = a(x-h)^2 + k, where (h,k) is the vertex of the parabola. In this case, h = 4 and k = 8. This means that the vertex is at point (4, 8), and the parabola opens upwards. Option A is the only choice that has the correct vertex, as both (h-4) and k are included in the equation, while the other options have an incorrect vertex or missing terms. Therefore, option A is equivalent to the given equation.

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