Question

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

Answer 1

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

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`.