If a parabola's focus is at (3.4) and directrix is aty = 2, what is the vertex form of the equation representing this parabola? O y= Hr+ 3) + 3 Oy- 4(x-3) +3 O y- -6(x-3)3 - 1 11 -10 P(x, y ) F ( -2,5 ) -12 -10 -B -4 10 y=-1What is the equation of the parbola shown below, given the focus at p(-2,6) and the directrixy= -1? Identify the vertex and the equation of the axis of symmetry of the parabola. O y- {(x+ 2) +2 ; vertex (-2,2); axis of symmetry is a = -2 O y= (x +2)3 +2; vertex (-2,2); axis of symmetry is . = -2 O y= -{(x+2)3 +2; vertex (2.2); axis of symmetry is x = 2 O y= #(x-2)# +2; vertex (2.2); axis of symmetry is = = $ The equation of a quadratic relation is y- -3 + 0. Every point on this conic is equidistant from the focal point (a, b) and the line defined by y = c. Determine the value of a + b + c. OO 0 6 0 4 O 2 Find the centre and radius of the circle x + 1 - 6 + 4y +7 -0. O centre (-3,2), radius v6 O centre (3, 2), radius 6 O centre (3, 2), radius v6 O centre (3, -2), radius v6What is the equation of the circle with centre ($,o) and radius 6? O (22 - 1)3 +y=0 2 O (2# - 1) 2 O (22 - 1) 4 O (2# - 1)" Write the equation of the circle that is tangent to the y-axis. Its centre is at (-3,5). O (s+ 3) + (y-5) =9 O (x-37 + (y+5) =3 O is - 3) + (+5) =9 O (x+ 3) + (y- 5) =3What is the equation of the given ellipse? y (1, 2) (5, 0.5) 16 1 =1 (-12 4y-1) 16 - + 9 - =1 4 ( x+ 1) 16 -+4+ $3 =1The point (.*) lies on the ellipse 3 + 18 = 1. Which of the following could be a value for &? 0 6 O 3V/2 0 9 0 3 An ellipse has centre (0.o) and vertices on the y-axis. The minor axis has length 10 and the major axis has length 14. Find the equation of the ellipse. O 100# - 1 196 O O 7 5 O Write the equation of the hyperbola with centre at (3, -1), vertex at (6, -1), one asymptote with equation 2x - By = 9. 9 - =1 2 =1 - =1 - =1 9What are the slopes of the asymptotes of the hyperbola 16 19 -1? O What is the equation of the line that contains the vertices of the hyperbola (x - 2) ( y+4) 16 - =-1? O y=4 O := -2 O y= -4 Convert the following parametric curve into Cartesian form: 1 = 4sint, y = 5 sint Orty =20 O None of these. by3 + 4y - 1 O 5Which of the following is a parameterization of the line that passes through the point (1, -3) with a slope of -4? Or = 2tan and y= -stant + 1, for - t and y - -41 - 2, for any : Or=t+ 3 and y= -at + 1, for any t A particle moves in the xy plane so that at any time -2