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The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the…
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The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the…
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The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit. Part A: Determine the vertex. What
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Answer:
( 30 , 784)
Explanation:
Guglhupf
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f(x)=-x^2+60x-116
f(x)+116=-x^2+60x
-f(x)-116=x^2-60x
-f(x)-116+900=x^2-60x+900
-f(x)+784=(x-30)^2
f(x)-784=-(x-30)^2
f(x)=-(x-30)^2+784
So the vertex is the point (30, 784)
Or you could commit to memory that the vertex for a parabola is always:
( -b/(2a), (4ac-b^2)/(4a) )
Ross Lewis
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Feb 1, 2018
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