Question

Not understanding this word problem.

Answer 1

I know its this\[(x-h)^2+(y-k)^2=16\]

I do not understand the word problem to be able to figure out the center to complete the equation.

Any help please?

Answer 2

It has a radius of 4, so it must be 4 units from the x-axis as well as the y-axis since it lies tangent to both. It also tells you that its in the third quadrant, so thats the bottom left quadrant so all x-values and y-values are negative.
The center should be at (-4,-4) with radius of 4.

Answer 3

ok so by tangent it just means the sides are touching the axis?

Answer 4

Tangent to something means that it only touches one point on whatever its tangent to, and does not cross the line. Just barely touches.

Answer 5

ah ok thank you agian