Complete the square to write the equation x2 + y2 – 4x – 16 = 0 in graphing form and sketch a graph. What is the equation of the parent graph and how has it been transformed? Homework Help ✎
Gather the x terms together andmove the constants to the right side of the equation.
(x2 − 4x + ?) + y2 = 16
Determine what value will complete the square and add it to both sides of the equation.
(x2 − 4x + 4) + y2 = 16 + 4
Factor and identify the center of the circle and the radius.
(x − 2)2 + y2 = 20