College algebra

Question

(X-2)^2/9 + (y-4)^2/36=1 and I have to find two focis

Answer 1

If the center is at x=2 and y=4. Use Pythagorean theorem's to find the foci length (f).

Let f be along the major axis so

f = sqrt( b²-a²)

f = sqrt(27)

So the foci points can be calculated +and- 3sqrt(3) from the center along the y axis.