20 pre-calc questions!!! PLEASE HELP ASAP THANK YOU

1. Find the vertex. focus, direetrix. and focal width of the parabola. [5 points} @ 1iil'erteit: (Ci, El}: Focus: (D. 1}: Direotrix: y = 4: Focal width: 15 O 1ill'ertemt: (Ci. D}: Focus: (3. D}: Direotrix: x = 4: Focal width: 64 O 1w'ertenc: {II}. D}: Focus: {II}. 4}: Direotrix: y = -4: Focal width: 4 O 1w'ertenc: {II}. D}: Focus: {II}. -4}|: Direotrix: 3" = 4: Focal width: 6-4 1. Find the standard form of the equation of the parabola with a focus at [I], El]| and a direetrix at 1; = El. [5 points} a 1f=_l)l!2 E O y2=-32x O v2=-Elx O "II'=_1X2 B 3. Find the standard form of the equation of the parabola with a focus at [5. D} and a directrix at 1: = 5. [5 points} O?=_i12 2H 0 2m=x~2 Ox=_iy2 2|?! \f\f\f\fE. Find an equation in standard farm for the ellipse with the vertical major axis of length 16 and minor axis of length 10. [5 paints} OL+=1 5 B OL_1 25+B4 O_1 5 5 ex2+LZ a? Fund the vertiees and Foci of the hfperbela with equation {X + 1] _ [3H- 5} = 1. (5 points) 225 400 O Vertiees: (19, 5;:, [-21, 5}; Feci: (21,5}, {19, 5} O Vertiees: {14, 5;:, {-15, 5}; Feci: (25, 5}, {24, 5} O Vertiees: {5. 14}, [-5, -16); Feci: {5. -2E}, {5, 24} O Vertiees: {5. 19}, [-5, -21}; Feci: {5. -21}, {5, 19) \f\f11. Find an equation in standard farm for the hyperbela with vertides at [0, i=9} and foci at [0, tin}. (5 points} 0 _1 31 117.":-. CJ !:__5: =1 31 15' (3 !:__5: =1 19 31 O _=1 1 B1 11. Find an equation in standard farm for the hyperbela with uertiees at [0, i=4} and asymptcrtes at y = :I: 1 x. {5 paints} O _1 144 1a C3_=1 1E 35 O _i=1 15 144 C3 E:__: =1 \fIE. I Find all paler enerdinates cf point P Iwhere P = [EL E] . [5 paint-a} O (a, _% + inn} er {9, _ + znn} 0 :9, -5 + {2n + 1}n} art9, _E + Ennj 5 5 D :9. _ + 2m} er {-9, _ + [2n + 11m) 5 5 C} :9. _g + Inn} er {9, g + {2n + 11m} Determine hue pairs of pelar cmrdinates far the point [5, 5} IMU": \" 5 B I: 35D". [5 paints} C} {5 J5 , 225}, (-5 15 .45\") C} {5 J5 , 315}, (-5 15 .135\": B {5 15 , 135}, (-5 J5 .315\": C} {5 15 , 4591,05 VIE .225") 17'. The graph of a lirnaoon curve is given. Without using your graphing calculator, determine which equation is oon'eet for the graph. '. ' I [5, 5] by [5, 5] {5 points} 0 r=3+2epsa O r=2+3epsa O r=2+2epsa O r=4+oosa 1!. Determine if the graph is symmetric about the xexis, the ywaxis, or the origin. r=2+35int5poin131| O No symmetry O yaxis only 0 xaxis only 0 Origin only I'D. 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 clearance must be 9 it at a point 24 ft from the center. Find an equation 'For the ellipse. [5 points} @H EH IIIEIEBEB III-\"III- l. Determine if the graph is symmetric about the incaxis, the yraxis, or the origin. r = 2 nos 33 {5 points}