91Ó°ÊÓ

For Problems \(15-32\), find the center and the length of a radius of each of the circles. $$ (x+6)^{2}+(y-9)^{2}=49 $$ \((-6,9) ; r=7\)

For Problems \(15-32\), find the center and the length of a radius of each of the circles. $$ (x+1)^{2}+(y+8)^{2}=12 \quad(-1,-8) ; r=2 \sqrt{3} $$

Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse, and sketch its graph. See answer section. $$ 4 x^{2}-8 x+9 y^{2}-36 y+4=0 $$

For Problems \(1-30\), find the vertex, focus, and directrix of the given parabola and sketch its graph. $$ y^{2}-12 x+24=0 $$

For Problems \(15-32\), find the center and the length of a radius of each of the circles. $$ (x-7)^{2}+(y+2)^{2}=24 \quad(7,-2) ; r=2 \sqrt{6} $$

Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse, and sketch its graph. See answer section. $$ x^{2}+6 x+9 y^{2}-36 y+36=0 $$

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

For Problems \(15-32\), find the center and the length of a radius of each of the circles. $$ 3(x-10)^{2}+3(y+5)^{2}=9 \quad(10,-5) ; r=\sqrt{3} $$

Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse, and sketch its graph. See answer section. $$ 4 x^{2}+16 x+y^{2}+2 y+1=0 $$

For Problems \(1-30\), find the vertex, focus, and directrix of the given parabola and sketch its graph. $$ (x+3)^{2}=4(y-4) $$