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5-52.

Complete the square (for x) to write the equation that follows in graphing form and sketch the graph of x2 + y2 − 4x − 16 = 0. What is 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