Question

Describe the graph of the quadratic function f (x) = -3x^2+ 6x + 5 by stating whether it opens upward or downward and stating how it is stretched or compressed when compared to the parent quadratic functionA. The parabola opens downward. It is compressed shorter by a factor of 3.B. The parabola opens upward. It is stretched taller by a factor of 3.C. The parabola opens downward. It is stretched taller by a factor of 3.D. The parabola opens upward. It is compressed shorter by a factor of 3.

Answer 1

B. The parabola opens upward. It is stretched taller by a factor of 3.

Explanation:

You want to know how the quadratic opens, and how it is stretched or compressed, given its equation is f(x) = -3x^2 +6x +5.

Leading coefficient

The "leading coefficient" is the coefficient of the highest-degree term. That term is -3x^2, and its coefficient is -3.

The minus sign tells you the parabola opens downward.

The magnitude of 3 tells you the parabola is stretched vertically (taller) by a factor of 3.