Question

Which one of the following is the graph of the equation 4x^2 - 9y^2 =36?
A. A circle with center (2,3) and radius 6
B. An ellipse with focal points (positive or negative square root of 5, 0)
C. An ellipse with the foci (positive or negative 3,0)
D. A hyperbola with veritces (positive or negative 3,0)
E. A parabola with vertex at (0,0)

Answer 1

d

Answer 2

its a hyperbola , only one of the choices even mentions hyperbolas, so it must be it

Answer 3

if it were an ellipse both the signs on the LHS would be positive

Answer 4

if it were a circle the coeffiecents of x^2 and y^2 would have been equal

Answer 5

and its definately not a parabola because both x and y appear as sqaured terms

Answer 6

thank you so much!