Which of the following functions represents a parabola that has a vertex located at (–3,4), and that passes through the point (–1, –4)?

The graph of f(x) is shown above. If f(x) = _ax_2 + bx + c, where a, b, and c are real numbers, then which of the following must be true:

I. a < 0

II. c < 0

III. b_2 – 4_ac < 0

Let f(x) = ax2 + bx + c, where a, b, and c are all nonzero constants. If f(x) has a vertex located below the x-axis and a focus below the vertex, which of the following must be true?

I. a < 0

II. b < 0

III. c < 0

A farmer is designing rectangular pen for his cows. One side of the pen will be blocked by a steep hill, and the other three sides of the pen will be fenced off with wire. If the farmer has 20 meters of wire, what is the maximum area of the pen that he can build in square meters?

What is the equation of the graph?

Let f(x) = x2. By how many units must f(x) be shifted downward so that the distance between its x-intercepts becomes 8?

Which of the following is true about the quadratic function f(x)=(x+4)2 - 3?

The parabolas of the functions and on the coordinate plane have the same vertex.

If we define , which of the following is a possible equation for ?

How many times does the equation below cross the x-axis?