### Home > INT3 > Chapter Ch10 > Lesson 10.3.3 > Problem 10-195

10-195.

Complete the square to write the equation *x*^{2} + *y*^{2} – 4*x* – 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.

(*x*^{2} − 4*x* + ?) + *y*^{2} = 16

Determine what value will complete the square and add it to both sides of the equation.

(*x*^{2} − 4*x* + 4) + *y*^{2} = 16 + 4

Factor and identify the center of the circle and the radius.

(*x* − 2)^{2} + *y*^{2} = 20