19 pre calc questions. need by later tonight if possible, thank you

1. Fund the vertex, focus, dirEttrix, and fetal width ef the parabola. {5 points} (:1 Vertex: (Ci, D}: Fetus: (Ci, 3}|; Direttrix: y = 3; Fetal width: 45 Q Vertex: (Ci, Ci): Fetus: {6, D}: Direttrix: x = 3: Fetal width: 45 O Vertex: (Ci, D}: Fetus: (Ci, 3}: Direttrix: y = 3; Fetal width: 3 Q Vertex: (Ci, ): Fetus: {It}, 3}|; Direttrix: 'i" = 3; Fetal width: 12 1. Fund the standard ferm ef the equation ef the parabola with a focus at [ll]. -3}| and a dirEttrix at if = 3. [5 points]- Ov2=-12x O?2=-3x Curtixz 12 O.=_l..2 3 3. Fund the standard ferm ef the equation ef the parabola with a focus at (-71\". El} and a dirEttrix at x = I". [5 points]- 0 x=_i2 23 Q 2Ei1.r=x2 O 1.I'2=14:a-: O.-_1.2 23 \f5- Find the center, ':.I'E:rtil::e-L-'.r and foci of the ellipse Iwith equation 53:2 + Ely-'2 = 45. {5 points} D Center: [[1, }: 1I.I'ertit:eL-1: [9, CI}, {9, D}; Foei: (2J, 0],,(2v'r'1 D) 0 Center: (D, D}; 1I.I'ertilc:e'a: [EL 43}; {I}. 9}; Foci: (Ell1 2H],(, EM) 0 Center: [I], ll}; 1I.I'ertilt:e-'.3: [I], -3}, (D, 43}; Fpei: {I}, -2}, (D, 2} [:1 Center: (CI, El}; 1I.I'ertilt:e-'.3: [-3, D}, {3, D); Foei: [-2, D}, {2, D} I. I: 2 Graph the ellipse with equation _+'_ll"_ = 1. {5 points} 15 4 D _ _ . _ _ . r. '16 -16--12--3--4- -4-3-l-2-15: \f-16--12--3--4- -4-E-l-2-16: E. Find an equation in standard farm for the ellipse with the verticai major axis of length 18 and minor axis of iength E. [5 points]- O+=1 5 3 O+=1 9 31 O=1 3 5 \f\f11. Find an equation in standard farm for the hrparbnla with vertiaes at [[1, $4} and foci at (D, 5:5}. {5 paints-1| O_=1 1a a O_=1 251a O_=1 1a 25 O_=1 Q16 1!. nd an equation in standard Form for the hyperbela with 1u'er'tiuces; at [[1, 5:5} and asympttrtes at 3r = :l: E x. (5 points]- 0 _=1 3515 O _='_2=1 4 '9 y: 12:1 35 4 O _=1 1'5 35 1!. Eliminate the parameter. x=1t,y=3t31{5peints_} 0 1.|I=Et31 E Q y=24x31 C) v=5>c3-1 \fIE. Determine two pairs of polar coordinates for the point {4, 4) with D\" s a e: 360\". {5 points]- 0 (4 J5 , 135), (4 1.5. , 315} C) (4 J5 , 45), (4 1E , 225} C) (4 14.5 , 315), (4 J; .135\") O (4 J5 , 225\"), (4 1.5 .45\": 1?. The graph of a lirnaoon curve is given. Without using your graphing calculatorI determine which equation is oorreet for the graph. 1. ' I [-5I 5] by [-5I 5] {5 points} 0 r=3+2oosa O r=2+3oosa O r=2+2oos3 O r=4+oosB 18. Determine if the graph is symmetric: about the xaxis, the airaxis, or the origin. r=2+35inB[5points} O No symmetry O yaxis only C) xaxis only 0 Origin only 19. A railroad tunnel is shaped like a semiellipse, as shown below. The height of the tunnel at the center is 2? ft, and the vertical cleara nee must be 9 'Ft at a point 24 ft from the center. Find an equation for the ellipse. (5 points) WHWH immmism lessee