SOLUTION: Hello my problem says, let f be the quadratic function given by f(x)=-1/2kx^2+12, where k>0. For what value of k are the roots of the graph -6 and 6? It also says what is f(0)? THa

Question 1013739: Hello my problem says, let f be the quadratic function given by f(x)=-1/2kx^2+12, where k>0. For what value of k are the roots of the graph -6 and 6? It also says what is f(0)? THanks so much for the help!!
Answer by ikleyn(52805) (Show Source): You can put this solution on YOUR website!
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Hello my problem says, let f be the quadratic function given by f(x)=-1/2kx^2+12, where k>0.
For what value of k are the roots of the graph -6 and 6? It also says what is f(0)? THanks so much for the help!!
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It is very simple.

Substitute x=6 into the polynomial. You will get

= .

Solve it for k.

= ,

k*36 = (-12)*(-2) = 24,

k = = .

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