A quadratic function is defined by q (x) = (x – 4) (x + 1). Without graphing software, describe the process of graphing the given function on the coordinate plane. Make sure to find and include the words y-intercept, x-intercept(s), and vertex. Tell what you would plot and how the final graph would look.

See below in bold.

Step-by-step explanation:

This is the vertex form of a parabola which opens upwards.

To find the x intercept put h(x) = 0:

(x + 1)^2 - 4 = 0

(x + 1)^2 = 4

x + 1 = +/- 2

x = (-3, 0) an (1, 0) are the x-intercepts.

For the y-intercept we put x = 0

y = (0+1)^2 - 4 = -3

y-intercept =  (0, -3).

The vertex  is (-1, -4).

Axis of symmetry is x = -1.

Step-by-step explanation: