SOLUTION: describe graph of quadratic function f(x)=x^2+10x+12 and identify the vertex and the x intercepts(smaller x value and larger x value).use a raphin utility to verify your answer

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Question 1058606: describe graph of quadratic function f(x)=x^2+10x+12 and identify the vertex and the x intercepts(smaller x value and larger x value).use a raphin utility to verify your answer
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Coefficient on the leading term is positive. Graph has vertex as a minimum and parabola opens upward.

Complete the Square to put into standard form so you can read the vertex, and can easily solve for the x-intercepts. The term to complete the square is %2810%2F2%29%5E2=25. See my lessons about Completing The Square in my profile.

You can check your work if you put in y=x^2+10x+12 into the Google Search Egnine; and the first listing will most likely be the graph.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
describe graph of quadratic function f(x)=x^2+10x+12 and identify the vertex and the x intercepts(smaller x value and larger x value).
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vertex occurs when x = -b/(2a) = -10/(2) = -5
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f(-5) = 25 - 50 + 12 = 13
Vertex:: (-5,13)
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x-intercepts::
Solve x^2 + 10x + 12 = 0
x = [-10 +- sqrt(100 - 4*12)]/2
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x = [-10 +- sqrt(52)]/2
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Cheers,
Stan H.
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