SOLUTION: Complete the square as an aid in graphing: y = x^2 + 4x - 2 After completed the square, graph the parabola. Please show all work so I can understand.

Question 747569: Complete the square as an aid in graphing: y = x^2 + 4x - 2
After completed the square, graph the parabola.
Please show all work so I can understand.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Complete the square as an aid in graphing: y = x^2 + 4x - 2
Subtract 2 from both sides
x^2 + 4x + ___ = 2
Find the value that completes the square.
This is half of coefficient of x, squared, therefore 2^2 = 4, add to both sides
x^2 + 4x + 4 = 2 + 4
x^2 + 4x + 4 = 6
Which is
(x+2)^2 = 6
Find the square root of both sides
x + 2 = +/-
Two solutions
x = -2 - ; about -4.45
and
x = -2 - ; about +.45
:
After completed the square, graph the parabola.
we know the parabola crosses the x axis at +.45 and -4.45, looks like this

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