SOLUTION: Find the equation of the quadratic function f whose maximum value is -3, its graph has an axis of symmetry given by the equation x=2 and f(0)=-9.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the equation of the quadratic function f whose maximum value is -3, its graph has an axis of symmetry given by the equation x=2 and f(0)=-9.      Log On


   

Question 1121362: Find the equation of the quadratic function f whose maximum value is -3, its graph has an axis of symmetry given by the equation x=2 and f(0)=-9.
Answer by josgarithmetic(39617) About Me  (Show Source):
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Find the equation of the quadratic function f whose maximum value is -3, its graph has an axis of symmetry given by the equation x=2 and f(0)=-9
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x=2, vertical symmetry axis;
Vertex (2, -3)

f(0)=-9 suggests vertex is Maximum.

y=a%28x-2%29%5E2-3
y%2B3=a%28x-2%29%5E2
a=%28y%2B3%29%2F%28x-2%29%5E2
-
a=%28-9%2B3%29%2F%28-2%29%5E2
a=-6%2F4
a=-3%2F2
-
highlight%28y=-%283%2F2%29%28x-2%29%5E2-3%29