SOLUTION: Please help me with this! Determine the quadratic equation for the parabola: Minimum value is 4 when x=3 zeros of f: one is 6

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me with this! Determine the quadratic equation for the parabola: Minimum value is 4 when x=3 zeros of f: one is 6      Log On


   



Question 41137: Please help me with this! Determine the quadratic equation for the parabola:
Minimum value is 4 when x=3
zeros of f: one is 6

Answer by venugopalramana(3286) About Me  (Show Source):
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Please help me with this! Determine the quadratic equation for the parabola:
Minimum value is 4 when x=3
zeros of f: one is 6
STD.EQN.IS
Y-K=A(X-H)^2
MINIMUM IS AT X=3...SO...H=3....AND HENCE K=4
Y-4=A(X-3)^2.....Y=0...WHEN...X=6...SO....
0=4+A(6-3)^2=4+9A
A=-4/9
Y-4=-4(X-3)^2/9
9Y-36+4(X-3)^2=0