Conic Sections Test

What type of conic equation is represented by $$4x^2 - 8x + 9y^2 - 72y + 112 = 0$$ ?

What type of conic equation is represented by $$-4x^2 + 40x + 25y^2 - 100y + 100 = 0$$ ?

What type of conic equation is represented by $$4x^2 - 24x - 36y^2 - 360y + 864 = 0$$ ?

What type of conic equation is represented by $$3y^2 - 4x - 6y + 23 = 0$$ ?

What type of conic equation is represented by $$16x^2 + 16x + 9y^2 + 72y + 4 = 0$$ ?

Which conic is represented by the equation $$(x-h)^2 = 4p(y-k)$$ ?

Which conic is represented by the equation $$\frac{(y-k)^2}{a^2} - \frac{(x-h)^2}{b^2} = 1$$ ?

Which conic section is defined as the set of all points that are equidistant (radius) to a fixed point (center) in a two-dimensional plane?

Which conic section is defined as the set of all points equidistant from a focus to a directrix?

Which conic section is defined as the set of points (x, y) in the plane such that the sum of each of the distances from F1 and F2 is d, where F is the foci?