How do you find all the critical points to graph #9x^2 - 4y^2 - 90x - 32y + 125 = 0# including vertices, foci and asympotes?
1 Answer
The vertices are
The foci are
The equations of the asymptotes are
Explanation:
This is the equation of a hyperbola
Rearranging the terms and completing the squares
dividing by
The center of this left right hyperbola is
The vertices are
The slope of the asymptotes are
The equations of the asymptotes are
To calculate the foci, we need
The foci are
graph{(x-5)^2/4-(y+4)^2/9=1 [-13.86, 14.61, -9.24, 5]}