### Home > INT3 > Chapter 5 > Lesson 5.1.2 > Problem 5-30

5-30.

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}