Question

What are the vertices of the hyperbola given by the equation y2 – 9x2 + 22y – 72x – 32 = 0?

(-3, -11) and (-5, -11)

(-1, -11) and (-7, -11)

(-4, -8) and (-4, -14)

(-4, -10) and (-4, -12)

Answer 1

Could you not just test the points by substituting them in?

Answer 2

what do u mean?

Answer 3

I mean take (x,y) = (-3,-11) and directly substitute x = -3 , y = -11 into the equation and see if you get zero. If you do, then that's one of the points. You'll also have to test (-5,-11) to make sure both points work. Don't tell me you've never substituted points into equations.

Answer 4

Still stumped?

Answer 5

i got the answer

Answer 6

Which is...?