Polynomial practice need help!!!

Question

The graph of a polynomial function the form f (x) = ax² + bx + c has a turning point above the x-axis, and extends from quadrant 3 to quadrant 4.

Which of the following is true?

a.) a < 0 and c > 0

b.) a > 0 and c < 0

c.) a > 0 and c > 0

d.) a < 0 and c < 0

Answer 1

Hi Jin. If the turning point of this graph is above the x-axis, but moves from Quadrant III to Quadrant IV, then “a” is less than zero. The shape of this parabola is like an upside down U.

Also, the graph has to cross the y-axis, if it moves above the x-axis, going from Quadrant III to Quadrant IV. That means “c”, the y-intercept, must be greater than 0.

So the answer is 1. Don’t hesitate to hire me if you want regular help.