SOLUTION: Find the vertex, line of symmetry, maximum/minimum and if the graph opens up or down of: f(x)=1/4(x+1)^2+9

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find the vertex, line of symmetry, maximum/minimum and if the graph opens up or down of: f(x)=1/4(x+1)^2+9      Log On


   

Question 318797: Find the vertex, line of symmetry, maximum/minimum and if the graph opens up or down of: f(x)=1/4(x+1)^2+9
Answer by Fombitz(32388) About Me  (Show Source):
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The equation is in vertex form, y=a%28x-h%29%5E2%2Bk, where (h,k) is the vertex.
Comparing,
(h,k)=(-1,9)
The vertex lies on the axis of symmetry,
x=-1
The coefficient of the x%5E2 term is positive, so the parabola opens upwards and the minimum for the parabola occurs at the vertex.
ymin=9
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.
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