SOLUTION: graph the quadritic equation y= x^2 +2x

Question 156636: graph the quadritic equation
y= x^2 +2x

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
y= x^2 +2x

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=4 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0, -2. Here's your graph:

-----------------
The y-intercept is at x=0.
At x=0, y=0 so the y-intercept is (0,0)
The vertex is at the minimum (in this example).
The 1st derivative is 2x+2
2x+2=0
x = -1
at x = -1, y = -1, so the vertex is (-1,-1)
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