SOLUTION: Please help me solve this equation Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x) = 2x2 -

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Please help me solve this equation Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x) = 2x2 -      Log On


   

Question 1047075: Please help me solve this equation
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x) = 2x2 - 2x
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 2x2 - 2x

You mean to say, f(x) = 2x^2 - 2x

which will become rendered as f%28x%29=2x%5E2-2x.


Is the coefficient on the leading term positive, or is it negative? Vertex minimum if this coefficient is positive.


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So you have your answer.
f%28x%29=highlight_green%282%29x%5E2-2x-------you know the lead coefficient is positive. The reference model parabola equation is y=x%5E2=1%2Ax%5E2, and you already know what this looks like graphed:
graph%28300%2C300%2C-6%2C6%2C-6%2C6%2Cx%5E2%29
and what if the lead coefficient were 2 instead of 1, still positive?
graph%28300%2C300%2C-6%2C6%2C-6%2C6%2C2x%5E2%29