How do you find all the critical points to graph #(x+3)^2/25-(y+5)^2/4=1# including vertices, foci and asymptotes?
1 Answer
The vertices are
The equations of the asymptotes are
The foci are
Explanation:
Our equation is
This is the equation of a left to right hyperbola
The typical equation of a hyperbola is
The center is
The vertices are
The slope of the asymptotes are
The equation of the asymptotes are
So the equations are
In order to calculate the foci, we need
And the foci are
graph{(x+3)^2/25-(y+5)^2/4=1 [-20.91, 18.56, -13.78, 5.97]}