SOLUTION: (a) Express the quadratic function in standard form. (b) Find its vertex and its x and y intercepts. (c) Sketch its graph. f(x) = 2X^2 + X - 6

Algebra ->  Functions -> SOLUTION: (a) Express the quadratic function in standard form. (b) Find its vertex and its x and y intercepts. (c) Sketch its graph. f(x) = 2X^2 + X - 6      Log On


   



Question 246203: (a) Express the quadratic function in standard form.
(b) Find its vertex and its x and y intercepts.
(c) Sketch its graph.
f(x) = 2X^2 + X - 6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(a) Express the quadratic function in standard form.
(b) Find its vertex and its x and y intercepts.
Vertex occurs where x = -b/2a = -1/[2(2)] = -1/4
The corresponding y-value is f(-1/4) = 2(-1/4)^2+(-1/4)-6 = -6 1/8
Vertex: (-1/4 , -49/8)
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(c) Sketch its graph.
f(x) = 2X^2 + X - 6
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B2-6%29
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Cheers,
Stan H.