Question 549834: Express f(x)=4x^2-12x+5 in factored form and determine the x intercepts, the vertex and sketch the graph of the function Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Express f(x)=4x^2-12x+5 in factored form and determine the x intercepts, the vertex and sketch the graph of the function
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Factor: 4x^2-12x+5
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= 4x^2-10x-2x+5
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= 2x(2x-5)-(2x-5)
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f(x) = (2x-5)(2x-1)
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x-intercepts: x = 5/2 ; x = 1/2
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Vertex:::
x = -b/2a = 12/8 = 3/2
f(3/2) = 4(3/2)^2-12(3/2)+5 = 4(9/4)-18+5 = -4
Vertex: ((3/2),-4)
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Graph:
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Cheers,
Stan H.
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