Question

Match each set of points with the quadratic function whose graph passes through those points.

f(x) = x2 − 2x − 15
f(x) = -x2 − 2x + 15
f(x) = -x2 + 2x − 15

(0,-15), (1,-14), (2,-15)

(-2,15), (-1,16), (0,15)

(-3,0), (0,-15), (5,0)

Answer 1

f(x) = x^2 − 2x − 15 ----> (-3,0), (0,-15), (5,0)

f(x) = -x^2 − 2x + 15 ----> (-2,15), (-1,16), (0,15)

f(x) = -x^2 + 2x − 15----> (0,-15), (1,-14), (2,-15)

Explanation:

The solutions to quadratic functions are where the function crosses the x-axis. These are known as roots or zeros or solutions to the function. Each function has been graphed below and shows the points for which it has solutions.