If a parabola's focus is at (2, () and directrix is at y= -2, what is the vertex form of the equation representing this parabola? O y= - 4(2+2) -1 O y= Hz+2) +1 O y= - H(z - 2)' -4 O y= =(x-2) +1\fWrite the equation of the hyperbola with center at (4,2), vertex at (4,5), and one asymptote defined by the equation dy - 3x = -4. (+2) (244)' 16 = 1 (-2)' (x - 4)2 = 1 4 O (-2)2 (x - 4)2 9 16 = 1 -2) (x-4)' 3 = 1 What is the standard form of the equation 4x3 - 16y - 161 + 32y -16 = 0? - =1 - - (y- 1)3 = 1 4 - (#+1)3 = 1 - (y - 1)* =1 Which of the following equations in z and y, if graphed, contain the parametric equation given by z = cost, y = 5sin't, and ost $ 2x? O y= -bal +1 Ov= bal +1 O y= -5x3 +5 Ov= -br' - 5Consider the curve defined by = = -2+ + and y = 1+ 213, for any . Find an equation in z and y whose graph includes the graph of the given curve. y = 22 +3 O y = 22 +5 O y= 2x3 +5 O y = baz + 2 A particle moves in the xy plane so that at any time 0