SOLUTION: I need your help. Can someone please graph this for me? Find the vertex and intercepts for each parabola. Sketch the graph. g(x) = x^2 + x - 6 By completing the square:

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Question 37687: I need your help. Can someone please graph this for me?
Find the vertex and intercepts for each parabola. Sketch the graph.
g(x) = x^2 + x - 6

By completing the square:



Vertex = (-0.5,-6.25). y-intercept = -6
Answer by Alwayscheerful(414)   (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=25 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2, -3. Here's your graph:



The formula to find the vertex is . That formula will give you the value of the vertex. To find the value, plug back into the equation.




Plug back into the original equation






To find the y-intercept, you must set equal to 0


Hope this helps!
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