# How do you find the intercept and vertex of #y=(x+5)(x+3)#?

##### 1 Answer

Jul 26, 2017

Generally, how to find...

I. X-intercept(s)

- set y=0 and solve for x.

II. Y-intercept(s)

- set x=0 and solve for y.

III. Vertex

i. FOIL (distribute)

ii. vertex: (-b/2a, f(-b/2a))

For this question...

I. X-intercepts

x-intercepts: (-5,0), (-3,0)

II. Y-intercept

y-intercept: (0,15)

III. Vertex

This is the x-value. To find the y-value plug in -4 for x and solve for y.

y=-1

The vertex is (-4,-1)