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) (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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Cheers,
Stan H.
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