SOLUTION: Find the vertex and intercepts of the following function: f(x)= 2x^2 + 4x

SOLUTION: Find the vertex and intercepts of the following function: f(x)= 2x^2 + 4x - 5

Question 472572: Find the vertex and intercepts of the following function:
f(x)= 2x^2 + 4x - 5
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

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=56 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.870828693386971, -2.87082869338697. Here's your graph:

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