### Home > CCA2 > Chapter 5 > Lesson 5.1.3 > Problem 5-52

5-52.

Complete the square (for *x*) to write the equation that follows in graphing form and sketch the graph of *x*^{2} + *y*^{2} − 4*x* − 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.

(*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