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MAT 172 Name: Online Lab # 3 PARABOLAS 1.) Find the focus, vertex, and directrix of the parabola yz = 24x 2.) Find the vertex, focus, directrix of the parabola x2 + 4x - 12y = -64 3.) A flashlight has a parabolic cross section with a diameter of 10 inches and a depth of 2 inches. How far from the vertex is the focus? CIRCLES 4.) Find the center and radius of the circle x2 + 10x + y2 - 4y = 7 5.) Find the center and radius of the circle x2 + y2 - 16x + 14y + 32 = 0ELLIPSE 6.) Find the standard equation of an ellipse centered at the origin with vertices (-4,0), (4,0) and foci (-3,0), (3,0). 7.) Find the vertices, intercepts, and foci of the ellipse 4x2 + 9y2 = 36 HYPERBOLA 8.) Find the equation of a hyperbola centered about the origin with vertices (0,-3), (0, 3) and foci (0,-6) , (0, 6) 9.) Find the vertices, foci, and asymptotes of the hyperbola 9y2 - 16x2 = 144 PARAMETRIC EQUATIONS 10.) Find the equivalent rectangular equation for x = =t y = 3t - 4 - 2