SOLUTION: Please help me solve the following equation: (((f(x)=-x^2+4x+5))) The question does not come out of the book. I am told to find the vertex, the line of symetry, the max or min v

Algebra ->  Graphs -> SOLUTION: Please help me solve the following equation: (((f(x)=-x^2+4x+5))) The question does not come out of the book. I am told to find the vertex, the line of symetry, the max or min v      Log On


   



Question 210882: Please help me solve the following equation: (((f(x)=-x^2+4x+5)))
The question does not come out of the book. I am told to find the vertex, the line of symetry, the max or min value of the quadratic function and graph the function.
Thanks Missy

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following equation: (((f(x)=-x^2+4x+5)))
The question does not come out of the book. I am told to find the vertex, the line of symetry, the max or min value of the quadratic function and graph the function.
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f(x)=-x^2+4x+5
a = -1 ; b = 4 ; c = 5
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Max or Min value occurs when x = -b/2a = -4/(-2) = 2
f(2) = -(2)^2 + 4*2 + 5 = 9
Vertex occurs at (2,9)
The vertex is a max because "a" is negative
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The axis of symmetry is x = 2 because it must pass thru the vertex.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B4x%2B5%29
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Cheers,
Stan H.