SOLUTION: Dear Algebra Gods, please help me answer this question? I am grateful for your help and wisdom. Find the vertex, the line of symmetry, the maximum or minimum value of f(x. Graph

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Dear Algebra Gods, please help me answer this question? I am grateful for your help and wisdom. Find the vertex, the line of symmetry, the maximum or minimum value of f(x. Graph      Log On


   



Question 464302: Dear Algebra Gods, please help me answer this question? I am grateful for your help and wisdom.
Find the vertex, the line of symmetry, the maximum or minimum value of f(x. Graph the function:
f(x)=1/2(x+9)^2+5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex, the line of symmetry, the maximum or minimum value of f(x. Graph the function:
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Comment: Your equation is in the form y = a(x-h)^2+k
where (h,k) is the vertex.
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f(x)=1/2(x+9)^2+5
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Vertex: (-9,5)
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Line of symmetry is the vertical line thru the vertex: x = -9
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Since (1/2) is greater than zero, the parabola opens up, so it
has a minimum y-value at the vertex:
minimum value = 5
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graph%28400%2C300%2C-20%2C10%2C-10%2C20%2C%281%2F2%29%28x%2B9%29%5E2%2B5%29
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Cheers,
Stan H.