SOLUTION: First re-write the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts: f(x)=-x²+5x-6

Algebra ->  Functions -> SOLUTION: First re-write the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts: f(x)=-x²+5x-6      Log On


   

Question 956065: First re-write the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts:
f(x)=-x²+5x-6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-x%5E2%2B5x-6
f%28x%29=-%28x%5E2-5x%29-6
f%28x%29=-%28x%5E2-5x%2B%285%2F2%29%5E2%29-6%2B%285%2F2%29%5E2
f%28x%29=-%28x%2B5%2F2%29%5E2-24%2F4%2B25%2F4
f%28x%29=-%28x%2B5%2F2%29%5E2%2B1%2F4
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Y-intercept:
So when x=0,y=1%2F4
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and
X-intercepts:
when y=0
%28x%2B5%2F2%29%5E2=1%2F4
x%2B5%2F2=0+%2B-+1%2F2
x=5%2F2%2B1%2F2=6%2F2=3 and x=5%2F2-1%2F2=4%2F2=2
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graph%28300%2C300%2C-2%2C6%2C-3%2C3%2C-x%5E2%2B5x-6%29