SOLUTION: 5. Graph the quadratic variation if g(x) varies directly with x2, and g(x) = 50 when x = 5. (Points : 1)

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: 5. Graph the quadratic variation if g(x) varies directly with x2, and g(x) = 50 when x = 5. (Points : 1)       Log On

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Question 430903: 5. Graph the quadratic variation if g(x) varies directly with x2, and g(x) = 50 when x = 5.
(Points : 1)

Answer by htmentor(789) About Me  (Show Source):
You can put this solution on YOUR website!
If g(x) varies directly as x%5E2, then we can write g(x) as:
g%28x%29+=+kx%5E2 where k is a constant.
Given g%285%29+=+50, we can find k
50+=+k%285%29%5E2+-%3E+k+=+2
So the function is g%28x%29+=+2x%5E2
Here is the graph:
graph%28300%2C300%2C-10%2C10%2C-30%2C30%2C2%2Ax%5E2%29