Answer
$(x+2)^2+(y+3)^2=49$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/43260d67-5b1d-4739-9705-30ff71c5f14a/result_image/1541976352.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240426%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240426T200304Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=fd884ef408e83175e5ac9a6e47b339f9006d6caf487c8e0fdc6e3a2d2c7fec2e)
Work Step by Step
Original equation $x^2+y^2=49$
Shift x by 2 units
Shift y by 3 units
$(x+2)^2+(y+3)^2=49$
See graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/43260d67-5b1d-4739-9705-30ff71c5f14a/steps_image/small_1541976352.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240426%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240426T200304Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=bf2f5afe9b3332fa082b489fe3b4ae67fc2a91d4cfee2b68a635422173219817)
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