SOLUTION: Given that f(x) = 2x^2 + x - 3,write f(x) in the form a(x+b)^2 + c,where a,b and c are constants.Sketch the graph of y = |f(x)|

Algebra ->  Test -> SOLUTION: Given that f(x) = 2x^2 + x - 3,write f(x) in the form a(x+b)^2 + c,where a,b and c are constants.Sketch the graph of y = |f(x)|      Log On


   



Question 1184783: Given that f(x) = 2x^2 + x - 3,write f(x) in the form a(x+b)^2 + c,where a,b and c are constants.Sketch the graph of y = |f(x)|
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Given that f(x) = 2x^2 + x - 3, write f(x) in the form a(x+b)^2 + c,where a,b and c are constants.Sketch the graph of y = |f(x)|
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f(x) = 2x%5E2+%2B+x+-+3 = 2%2A%28x%5E2+%2B+%281%2F2%29x%29+-+3 = 2%2A%28x%5E2+%2B+2%2A%281%2F4%29%2Ax+%2B+1%2F16%29+-+2%2F16+-+3%29 = 2%2A%28x%2B1%2F4%29%5E2+-+1%2F8+-+3 = 2%2A%28x%2B1%2F4%29%5E2+-+25%2F8.


Thus a= 2, b= 1/4, c= -25/8.


Sketch the graph of y = |f(x)| on your own.