y2 + 6y + 8x + 25 = 0 --------- (1)

Given y2 + 6y + 8x + 25 = 0 --------- (1) ?

parabola, ellipse, hyperbola, circle

(a) Identify the conic, analyze the equation (find the center, radius, vertices, foci, eccentricity, directrix, and asymptotes whenever possible). (b) Set y = t-3, convert equation (1) into a set of parametric equations . Show work to justify your answers.
(c) Label vertex, the axis of symmetry, foci, directrix found in [1](a) on Figure-1.

Given the conic --------(2)

(a) Convert conic equation (2) into parametric equations. Specify the range of parameters.
(b) With the aid of a graphic calculator, sketch conic (2) using parametric equations from [2](a), label the orientation and initial point on your curve.
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