SOLUTION: Find the minimum value of the quadratic y = 2x^2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function. Thank you.

Question 1188441: Find the minimum value of the quadratic y = 2x^2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function. Thank you.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

At what -value does the minimum occur?
since you have a parabola that opens up, minimum is at vertex; so, complete square and write equation in vertex form

........

=> vertex is at (,)
so, minimum is at

domain: (all real numbers)
range:{ element : } (all non-negative real numbers)

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