Complete the square to change the following equations to graphing form. Then sketch the graph of each equation. Homework Help ✎
f(x) = x2 + 4x + 6
x2 + 6x + y2 − 8y = 0
f(x) − 2 = x2 + 4x + 6 − 2
Now simplify the right side of the equation and factor.
You will need to complete the square twice, once for x and once for y.
(x2 + 6x + ?) + (y2 − 8y + ?) = 0 + ? + ?
will allow you to simplify the equation to
(x + ?)2 + (y − ?)2 = ?
Don't forget to graph each equation!