SOLUTION: Please help me solve this problem! I have to write the equation in vertex form, find the max/min values and state the domain and range. {{{ y = 2x^2 - 12x + 27 }}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me solve this problem! I have to write the equation in vertex form, find the max/min values and state the domain and range. {{{ y = 2x^2 - 12x + 27 }}}      Log On


   

Question 358742: Please help me solve this problem!
I have to write the equation in vertex form, find the max/min values and state the domain and range.
+y+=+2x%5E2+-+12x+%2B+27+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+2x%5E2+-+12x+%2B+27+
Complete the square to get to vertex form, y=a%28x-h%29%5E2%2Bk.
y=2%28x%5E2-6x%29%2B27
y=2%28x%5E2-6x%2B9%29%2B27-2%289%29
y=2%28x-3%29%5E2%2B27-18
highlight%28y=2%28x-3%29%5E2%2B9%29
Since a%3E0, the parabola opens upwards and the vertex value is a minimum.
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y%5Bmin%5D=9
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Domain: (-infinity,infinity)
Range : (9,infinity)
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