9x² - 25y² = 225 for T subscript(0, -5)
This is what I did:
9x² - 25(y + 5)² = 225
9x² - 25y² - 250y - 850 = 0
So to graph it I have to rewrite the general form equation in quadratic form, ay² + by + c = 0, and then solve for y with the quadratic formula:
(-25)y² + (-250)y + (9x² - 850) = 0
y = {250±√[(-250)² - 4(-25)(9x² - 850)]} / 2(-25)
But when I try to graph it on a calculator it doesn't work. Help please!
The + 5 came from the ordered pair (0, -5) which was the translation I had to give respect to.
And yes it is a hyperbola but the problem wanted it in general form, Ax² + Bxy + Cy² + Dx + Ey + F = 0.