# What are the important points needed to graph #y=x^2+2x+1#?

##### 1 Answer

Nov 4, 2015

Graph

#### Explanation:

The important points are:

1. x-coordinate of axis of symmetry.

x = -(b/2a) = -2/2 = -1.

2. x-coordinate of vertex: x = -(b/2a) = -1

y-coordinate of vertex:

f(-1) = 1 - 2 + 1 = 0

3. y intercept.

Make x = 0 --> y = 1

4. x-intercepts.

Make y = 0 and solve

There is double root at x = -1.

graph{x^2 + 2x + 1 [-10, 10, -5, 5]}