SOLUTION: how do I find all the intercepts for f(x)=2x^2+4x-3 Thank you for your time and help

Question 994952: how do I find all the intercepts for f(x)=2x^2+4x-3
Thank you for your time and help
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
An intercept means either the x coordinate is 0 or the y coordinate is 0 (or both).
To find the x intercepts, set x = 0 and solve.

so one intercept is (0, -3)
To find the y intercepts, set y (or in this case f(x) ) = 0

Use the quadratic equation to solve

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=40 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.58113883008419, -2.58113883008419. Here's your graph:

There are two points where y=0. (-2.58,0) and (0.58 , 0)
You have three intercepts .. as you can see from the graph

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