Question

A quadratic function is defined by p(x)=(x−1)(x+3).

Graph the function on the coordinate plane.

Answer 1

Step-by-step explanation:

y = (x - 1)(x + 3)

Find y intercept:

y = (0 - 1)(0 + 3) ⇒ y = -3

coordinates: (0, -3)

Find x intercept:

(x - 1)(x + 3) = 0 ⇒ x = 1, x = -3

coordinates of x intercept: (1, 0), (-3, 0)

Vertex: x = -b/2a = -2/2(1) = -1

y = (-1 -1)(-1 +3) = -4

coordinates: (-1, -4)