SOLUTION: Consider the quadratic function y=kx(x-2)+3. If its optimum value is 4, find the value of k.
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Question 1005898: Consider the quadratic function y=kx(x-2)+3. If its optimum value is 4, find the value of k.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
and where x is the middle value between the zeros.
Finding zeros using formula for general solution of quadratic equation:
D for discriminant,
Middle x between the zeros is
-
This means x=1 and y=4 is the maximum or "optimum" or VERTEX point for the function.
using the given original equation or function
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