91Ó°ÊÓ

For Problems \(15-32\), find the center and the length of a radius of each of the circles. $$ 5(x-3)^{2}+5(y-3)^{2}=30 $$ \((3,3) ; r=\sqrt{6}\)

For Problems \(1-30\), find the vertex, focus, and directrix of the given parabola and sketch its graph. $$ (y+4)^{2}=-8(x+2) $$

Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse, and sketch its graph. See answer section. $$ x^{2}-6 x+4 y^{2}+5=0 $$

For Problems \(15-32\), find the center and the length of a radius of each of the circles. x^{2}+y^{2}-6 x-10 y+30=0

Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse, and sketch its graph. See answer section. $$ 16 x^{2}+9 y^{2}+36 y-108=0 $$

For Problems \(1-30\), find the vertex, focus, and directrix of the given parabola and sketch its graph. $$ (y-3)^{2}=8(x-1) $$

For Problems \(15-32\), find the center and the length of a radius of each of the circles. $$ x^{2}+y^{2}-6 x-10 y+30=0 \quad(3,5), r=2 $$

For Problems \(1-30\), find the vertex, focus, and directrix of the given parabola and sketch its graph. $$ x^{2}-2 x-4 y+9=0 $$

Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse, and sketch its graph. See answer section. $$ 9 x^{2}-72 x+2 y^{2}+4 y+128=0 $$

Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse, and sketch its graph. See answer section. $$ 5 x^{2}+10 x+16 y^{2}+160 y+325=0 $$