SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. {{{f(x)=2x^2-12x+8}}}

Algebra ->  Graphs -> SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. {{{f(x)=2x^2-12x+8}}}      Log On


   



Question 394709: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f%28x%29=2x%5E2-12x%2B8

Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) 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 the quadratic function, and graph the function.
f%28x%29=2x%5E2-12x%2B8
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The line if symmetry is x = -b/2a = 12/4
L of S is x = 3
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The minimum is on the L of S at f(3)
f(3) = 2*9 - 12*3 + 8 = -10
Minimum at (3,-10)
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dl the FREE graph software at
http://www.padowan.dk
Use Insert, 2x^2-12x+8

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex
f%28x%29=2x%5E2-12x%2B8 |completing square
f%28x%29=2%28%28x-3%29%5E2+-+9%29+%2B+8
f%28x%29=2%28x-3%29%5E2+-+10 Vertex Pt(3,-10), Line of symmetry is x = 3
Vertex is a minimum value, parabola open upward (a>0)