SOLUTION: Can you please help me with this problem: Find a function whose graph is a parabola with vertex (3,4) and that passes through the point (1,-8).

Question 1125845: Can you please help me with this problem: Find a function whose graph is a parabola with vertex (3,4) and that passes through the point (1,-8).
Answer by ikleyn(52784) (Show Source): You can put this solution on YOUR website!
.

A parabola with the vertex (3,4) has the form


    y(x) = .


The only unknown is the coefficient "a".


To find it, use the fact that the point (1,-8) lies on the graph.  It gives you an equation


    -8 = ,   or

    -12 = 4a.


Hence,  a =  = -3.


Answer.  The function is  y(x) = .

Solved.

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