### Home > CCA2 > Chapter 5 > Lesson 5.2.3 > Problem 5-87

5-87.

A circle has the equation *x*^{2} + (*y* + 2)^{2} = *r*^{2}. If the circle is shifted 2 units to the left, 5 units up, and the radius is doubled, what will its new equation be? Homework Help ✎

The general equation for a circle is (*x* − *h*)² + (*y* − *k*)² = *r*²

where the center is at (*h*, *k*) and the radius has length *r*.

Be sure to square the doubled radius correctly: (2*r*)²

(*x* + 2)² + (*y* − 3)² = 4*r*²