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# What is an equation for the translation (x - 2)^{2} + (y + 1)^{2} = 16 by 4 units left and 6 units up?

**Solution:**

The __equation__ of the translation of

(x - 2)^{2} + (y + 1)^{2} = 16 by 4 units left will shift the __x-coordinate__ of the center of the circle to -2

Hence the resultant equation will be

(x + 2)^{2} + (y + 1)^{2} = 16

The equation of the translation of

(x - 2)^{2} + (y + 1)^{2} = 16 by 6 units up will result in in a equation

(x - 2)^{2} + (y + 7)^{2} = 16

The equation of the translation by 4 units left and 6 units up will be

(x + 2)^{2} + (y + 7)^{2} = 16

## What is an equation for the translation (x - 2)^{2} + (y + 1)^{2} = 16 by 4 units left and 6 units up?

**Summary:**

Equation for the translation (x - 2)^{2} + (y + 1)^{2} = 16 by 4 units left and 6 units up will be (x + 2)^{2} + (y + 7)^{2} = 16

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