Question

What is the result of shifting a circle with equation (x+3)2 + (y-2)2=36 left 3 units

Answer 1

Answer:

$(x+6)^2 + (y-2)^2 = 36$

Step-by-step explanation:

Shifting the circle 3 units to the left will move the x coordinate of the vertex or h value. Everything else will stay the same.

$(x+3)^2 + (y-2)^2 = 36$

Moving it to the left will change the (x+3) to (x+6).

The equation becomes $(x+6)^2 + (y-2)^2 = 36$.