SOLUTION: Find the vertex and intercepts for each parabola. Sketch the graph. g(x)=x^2+x-6

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the vertex and intercepts for each parabola. Sketch the graph. g(x)=x^2+x-6      Log On


   

Question 90605: Find the vertex and intercepts for each parabola. Sketch the graph.
g(x)=x^2+x-6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex and intercepts for each parabola. Sketch the graph.
g(x)=x^2+x-6
g(x) = x^2 +x + ? -6 -?
Complete the square on the x-terms to get:
g(x) = x^2 +x + (1/2)^2 -6 -(1/2)^2
Factor to get:
g(x) = (x+(1/2))^2 -24/4 - 1/4
g(x) = (x+(1/2))^2 - (25/4)
g(x)+(25/4) = (x+(1/2))^2
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Vertex: ((-1/2),(-25/4))
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Bx-6%29
Cheers,
Stan H.