Question 813086: without graphing, find the vertex and the maximum or minimum value of f(x).
f(x)=-5/7(x-7)^2+6
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! f(x)= (-5/7)(x - 7)^2 + 6
f(x)= (-5/7)(x - 7)(x - 7) + 6
f(x)= (-5/7)(x^2 - 14x + 49) + 6
f(x)= (-5/7)x^2 + 10x - 35 + 6
f(x)= (-5/7)x^2 + 10x - 29
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the above quadratic equation is in standard form, with a=-5/7=-0.7142857, b=10, and c=-29
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to solve the quadratic equation, plug this:
-0.7142857 10 -29
into this: https://sooeet.com/math/quadratic-equation-solver.php
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Answer 1:
the vertex of the quadratic equation is a maximum point at: ( 7.00000014, 6.0000007 )
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Answer 2:
the maximum value of f(x) is: 6.0000007
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