# How do you graph # y = x^2 + 4x + 1#?

##### 1 Answer

Jun 1, 2018

Find the intercepts and the vertex.

#### Explanation:

**Set x=0 to find the y intercept:**

**Set y=0 to find the x intercept(s) if they exist:**

**use the quadratic formula:**

**Now find the Axis of Symmetry (aos):**

**Find the vertex:**

vertex = (aos, f(aos))

vertex

**Finally since a > 0 the parabola open up like a smile so the vertex is a minimum, now graph:**

graph{x^2 +4x+1 [-11, 9, -3.64, 6.36]}