SOLUTION: how do i graph the function 2x^2+8x+4

Question 287314: how do i graph the function 2x^2+8x+4
Found 2 solutions by Alan3354, texttutoring:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It's not possible, since it's not a function. It's a polynomial.
If it were y = 2x^2+8x+4 then you could graph it.
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Pick values for x and find y. Plot the points, draw a curve thru them.

Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
The easiest way (if you don't have a graphing calculator or graphing software) is to turn it from general form (y=ax^2+bx+c) into standard parabola form (y=a(x-p)^2 + q)
You can do this by completing the square:

Factor out the 2 from the x terms:

Take half of the b=4 term, then square it , and add it inside the brackets:

You added 8 (2 outside the brackets, times the 4 inside) to the equation, so you now have to subtract 8 from the outside:

Also note that the terms in the brackets now make a perfect square.

This is a parabola with a=2, and center at (p,q)=(-2,-4)
If you want to see an image of this graph, or require more explanation, send me a message :)
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