What is the equation of the given circle? X O (x - 3)2 + (y + 1) 2 = 4 O (x - 3)2 + (y - 1)2 = 4 O (x - 3)2 + (y + 1)2 = 16 O (x + 3)2 + (y - 1)2 = 16 Find the center and radius of the circle defined by x2 + y2- - 4x + 6y - 23 = 0? O center (-2, 3), radius 6 center (2, -3), radius 6 O center (-2, 3), radius v6 center (-2, -3), radius v6 Which of the following equations represents an ellipse with x-intercepts +4 and y-intercepts 19? y- 16 65 4 7 = 1 81 Write the equation of the hyperbola with centre at (4, 2), vertex at (4, 5), one asymptote with equation 4y - 3x = -4. 0 ( y+ 2)2 ( 2 + 4 ) 2 16 O (y -2)2 (2-4)2 ( y + 2 ) 2 ( 20 + 4 ) 2 = 1 O (y -2)2 (20- 4)2 9 = 1 16If a parabola's focus is at (1,1) and directrix is at y : 7, what is the general form of the equation representing this parabola? O $247=0 O $272I+16y749=0 O $22I+2y2+16y47:0 O 1'2 +2I+16y47=0 What is the equation of the parabola shown below, given the focus at F(1, 2) and the directrix m = 5? Identify the vertex and the equation of the axis of symmetry for the parabola. Lt : %(y - 2)2 + 3; vertex (3,2); axis of symmetry is y = 2 at = %(y + 2)2 5; vertex (1,2); axis of symmetry isy = 2 a: : %(y 2)2 + 3; vertex (3, 2); axis of symmetry isy : 5 0000 a: : {y+ 2)2 + 1; vertex (3,2); axis of symmetry is 3: : 1 What is the standard form of the conic defined by ax2 + 2y - 8y = 0? O (y - 2)2 8 = 1 4 O (y + 2)2 8 = 1 4 O (y - 2)2 4 = 1 2 O (y - 4)2 + 16 = 1 8