How do you find all the critical points to graph #4x^2 + 20x - 4y^2 + 6y - 3 = 0# including vertices, foci and asymptotes?
1 Answer
Oct 18, 2016
The graph is a hyperbola and we have to write the equation in the standard form.
So the equation becomes
So the center is
The vertices are
The slope of the asymptotes are 1 and -1
The equations of the asymptotes are
In order to determine the foci we need
So the foci are
graph{4x^2+20x-4y^2+6y-3=0 [-20, 20, -10, 10]}