La parábola (D)Online version Transformación de la ecuación general a la ecuación ordinal o canónica by CRISTOBAL LARA 1 x² - 2x - 6y - 215 = 0 a (x - 1)² = 6(y + 36) b (x - 1)² = - 7(y - 1.5714) c (x + 1)² = - 5(y - 22.2) d (x + 1)² = - 9(y + 1) 2 x² + 14x + 10y - 70 = 0 a (x - 7)² = 5(y - 16.2) b (x + 7)² = - 10(y - 11.9) c (x + 7)² = 7(y - 25.8571) d (x - 7)² = - 1(y + 116) 3 x² - 14x + 3y - 250 = 0 a (x + 7)² = 9(y + 22.1111) b (x + 7)² = 8(y - 20.75) c (x - 7)² = - 3(y - 99.6667) d (x - 7)² = - 8(y - 29.25) 4 x² + 20x + 8y + 135 = 0 a (x + 10)² = 9(y + 4.4444) b (x - 10)² = - 8(y - 20) c (x - 10)² = 2(y + 52.5) d (x + 10)² = - 8(y + 4.375) 5 x² + 2x - 8y + 45 = 0 a (x + 1)² = 8(y - 5.5) b (x + 1)² = 5(y + 21.2) c (x - 1)² = - 1(y + 239) d (x - 1)² = - 7(y - 14.4286) 6 (x + 8)² = - 7(y + 15.1429) a (x - 8)² = - 8(y - 24.25) b (x + 8)² = - 7(y + 15.1429) c (x + 8)² = - 5(y - 56.8) d (x - 8)² = - 4(y + 40.25) 7 x² - 6x - 9y + 235 = 0 a (x + 3)² = - 6(y + 7.6667) b (x + 3)² = 10(y + 1.9) c (x - 3)² = 9(y - 25.1111) d (x - 3)² = 5(y - 38.2) 8 x² + 10x + y - 165 = 0 a (x + 5)² = - 2(y + 85) b (x - 5)² = 9(y + 25.5556) c (x - 5)² = - 6(y + 15) d (x + 5)² = - 1(y - 190) 9 x² - 4x + 6y - 135 = 0 a (x - 2)² = - 6(y - 23.1667) b (x + 2)² = 10(y + 5.4) c (x - 2)² = 9(y + 24.3333) d (x + 2)² = - 8(y + 12.625) 10 x² + 4x - 10y - 150 = 0 a (x - 2)² = - 4(y - 21) b (x + 2)² = 10(y + 15.4) c (x - 2)² = - 1(y - 229) d (x + 2)² = - 6(y - 0.6667) 11 x² + 8x + 5y - 105 = 0 a (x + 4)² = - 8(y - 13.875) b (x - 4)² = - 5(y + 33.8) c (x + 4)² = - 5(y - 24.2) d (x - 4)² = 2(y + 78) 12 x² + 2x + 8y + 150 = 0 a (x - 1)² = - 9(y - 0.6667) b (x + 1)² = 1(y + 151) c (x - 1)² = 5(y + 16.2) d (x + 1)² = - 8(y + 18.625) 13 x² - 2x - 2y - 170 = 0 a (x - 1)² = 2(y + 85.5) b (x + 1)² = 4(y + 12.75) c (x - 1)² = 9(y - 23.7778) d (x + 1)² = 10(y - 17.9) 14 x² - 12x + 8y - 30 = 0 a (x + 6)² = - 3(y + 14.6667) b (x - 6)² = - 8(y - 8.25) c (x + 6)² = 4(y + 54) d (x - 6)² = 7(y - 26.2857) 15 x² + 10x + 10y + 230 = 0 a (x + 5)² = 4(y + 47.5) b (x - 5)² = 5(y + 52) c (x + 5)² = - 10(y + 20.5) d (x - 5)² = - 10(y - 20) 16 x² - 2x + 9y - 40 = 0 a (x + 1)² = - 2(y - 48) b (x - 1)² = 6(y - 34) c (x + 1)² = - 4(y - 19) d (x - 1)² = - 9(y - 4.5556) 17 x² + 8x + 9y + 160 = 0 a (x + 4)² = - 9(y + 16) b (x - 4)² = - 4(y + 31) c (x - 4)² = 7(y + 21.5714) d (x + 4)² = 4(y - 26) 18 x² - 14x + 6y - 60 = 0 a (x - 7)² = - 1(y + 91) b (x - 7)² = - 6(y - 18.1667) c (x + 7)² = - 3(y - 8) d (x + 7)² = - 2(y + 20.5) 19 x² - 2x - 3y - 110 = 0 a (x + 1)² = - 1(y + 89) b (x - 1)² = 8(y + 11.375) c (x - 1)² = 3(y + 37) d (x + 1)² = - 6(y + 8.1667) 20 x² + 6x - 10y - 215 = 0 a (x - 3)² = 9(y - 19) b (x - 3)² = - 6(y - 16.5) c (x + 3)² = 6(y + 25.6667) d (x + 3)² = 10(y + 22.4) 21 x² - 8x - 10y - 165 = 0 a (x - 4)² = 10(y + 18.1) b (x + 4)² = - 4(y - 15.25) c (x + 4)² = - 4(y - 21.5) d (x - 4)² = - 3(y - 5.3333) 22 x² - 16x - y + 120 = 0 a (x - 8)² = 6(y + 36.5) b (x - 8)² = 1(y - 56) c (x + 8)² = 7(y - 24.4286) d (x + 8)² = - 2(y - 67) 23 x² - 14x + 10y - 175 = 0 a (x + 7)² = 6(y + 47.3333) b (x - 7)² = - 6(y - 4.8333) c (x - 7)² = - 10(y - 22.4) d (x + 7)² = - 7(y - 9.1429) 24 x² + 6x + y - 10 = 0 a (x - 3)² = - 5(y - 10.8) b (x - 3)² = 2(y + 7) c (x + 3)² = 2(y - 10.5) d (x + 3)² = - 1(y - 19) 25 (x - 7)² = - 10(y - 15.4) a x² - 14x + 10y - 105 = 0 b x² - 14x - 10y + 135 = 0 c x² + 14x + 10y - 135 = 0 d x² + 14x + 2y + 15 = 0 26 (x - 4)² = 8(y - 23) a x² + 8x - y - 160 = 0 b x² - 8x - 8y + 200 = 0 c x² - 8x + 8y + 35 = 0 d x² + 8x - 8y + 120 = 0 27 (x + 7)² = 1(y + 184) a x² + 14x - 7y - 5 = 0 b x² + 14x - y - 50 = 0 c x² + 14x - y - 135 = 0 d x² + 14x + 8y + 235 = 0 28 (x - 9)² = - 1(y - 26) a x² - 18x - 7y - 130 = 0 b x² - 18x - 10y + 20 = 0 c x² - 18x + 4y + 40 = 0 d x² - 18x + y + 55 = 0 29 (x + 3)² = - 2(y + 68) a x² + 6x + 2y + 145 = 0 b x² + 6x - 3y + 135 = 0 c x² + 6x + 4y - 245 = 0 d x² + 6x + 7y + 150 = 0 30 (x - 5)² = - 9(y + 2.7778) a x² - 10x - 8y - 80 = 0 b x² - 10x + 9y + 50 = 0 c x² - 10x - 10y - 220 = 0 d x² - 10x - 9y - 75 = 0 31 (x + 1)² = 10(y - 14.9) a x² + 2x + 10y + 115 = 0 b x² + 2x + 8y + 170 = 0 c x² + 2x - 10y + 150 = 0 d x² + 2x + 4y - 15 = 0 32 (x - 7)² = 7(y - 11.5714) a x² - 14x + 9y + 195 = 0 b x² - 14x - 10y + 20 = 0 c x² - 14x + 8y + 250 = 0 d x² - 14x - 7y + 130 = 0 33 (x - 4)² = 9(y + 6.2222) a x² - 8x - 9y - 40 = 0 b x² - 8x - 9y + 250 = 0 c x² - 8x - y + 10 = 0 d x² - 8x + 7y - 185 = 0 34 (x - 3)² = 6(y + 39) a x² - 6x - 9y - 30 = 0 b x² - 6x - 6y - 225 = 0 c x² - 6x - 2y + 135 = 0 d x² - 6x - 6y + 215 = 0 35 (x - 2)² = 10(y + 4.4) a x² - 4x + 10y - 20 = 0 b x² - 4x + 10y - 120 = 0 c x² - 4x - 10y - 40 = 0 d x² - 4x - 6y - 215 = 0 36 (x + 7)² = 9(y + 8.2222) a x² + 14x + 5y - 110 = 0 b x² + 14x + 7y - 65 = 0 c x² + 14x - 7y - 200 = 0 d x² + 14x - 9y - 25 = 0 37 (x - 6)² = - 1(y + 19) a x² - 12x + y + 55 = 0 b x² - 12x + y - 155 = 0 c x² - 12x - 8y + 200 = 0 d x² - 12x + 8y + 60 = 0 38 (x + 6)² = - 5(y - 37.2) a x² + 12x + 9y - 230 = 0 b x² + 12x + 5y - 150 = 0 c x² + 12x + 10y - 215 = 0 d x² + 12x + 10y - 210 = 0 39 (x - 9)² = - 5(y - 59.2) a x² - 18x + 2y + 155 = 0 b x² - 18x + y - 95 = 0 c x² - 18x + 5y - 215 = 0 d x² - 18x + 6y - 125 = 0 40 (x + 8)² = 3(y - 50.3333) a x² + 16x - 8y - 90 = 0 b x² + 16x + 4y + 80 = 0 c x² + 16x + 8y - 185 = 0 d x² + 16x - 3y + 215 = 0 41 (x - 2)² = 5(y - 32.2) a x² - 4x - 5y + 165 = 0 b x² - 4x - 4y - 80 = 0 c x² - 4x + 8y + 145 = 0 d x² - 4x - 3y + 150 = 0 42 (x - 9)² = - 1(y + 114) a x² - 18x - 5y - 95 = 0 b x² - 18x + y + 195 = 0 c x² - 18x + 8y + 250 = 0 d x² - 18x - 4y + 55 = 0 43 (x + 2)² = 5(y - 37.2) a x² + 4x - 3y - 170 = 0 b x² + 4x - 9y + 215 = 0 c x² + 4x - 5y + 190 = 0 d x² + 4x + 3y + 215 = 0 44 (x + 4)² = - 8(y + 29.25) a x² + 8x + 3y - 215 = 0 b x² + 8x - 6y + 120 = 0 c x² + 8x - 10y - 20 = 0 d x² + 8x + 8y + 250 = 0 45 (x + 9)² = 4(y + 61.5) a x² + 18x - 4y - 165 = 0 b x² + 18x + 6y - 25 = 0 c x² + 18x - 6y + 60 = 0 d x² + 18x + 9y - 185 = 0 46 (x - 2)² = - 4(y + 59) a x² - 4x + y - 15 = 0 b x² - 4x + 4y + 240 = 0 c x² - 4x + 3y + 220 = 0 d x² - 4x + 8y + 170 = 0 47 (x + 4)² = - 9(y + 6) a x² + 8x - y - 55 = 0 b x² + 8x + 10y - 55 = 0 c x² + 8x + 9y + 70 = 0 d x² + 8x - 2y + 80 = 0 48 (x + 6)² = - 2(y - 20.5) a x² + 12x + 3y + 195 = 0 b x² + 12x + 10y - 240 = 0 c x² + 12x + 3y - 150 = 0 d x² + 12x + 2y - 5 = 0 49 (x + 8)² = - 4(y + 42.75) a x² + 16x + 4y + 235 = 0 b x² + 16x - 10y - 245 = 0 c x² + 16x - y - 40 = 0 d x² + 16x + 7y + 10 = 0 50 (x + 8)² = 2(y + 79.5) a x² + 16x + 7y - 195 = 0 b x² + 16x - 2y - 95 = 0 c x² + 16x - 8y + 125 = 0 d x² + 16x - 10y - 15 = 0 51 (x - 1)² = 6(y + 33.5) a x² - 2x + y - 190 = 0 b x² - 2x - 6y + 50 = 0 c x² - 2x - 6y - 200 = 0 d x² - 2x + 2y + 130 = 0 52 (x + 9)² = - 4(y - 66.5) a x² + 18x - 7y - 15 = 0 b x² + 18x + 10y - 20 = 0 c x² + 18x + 7y + 110 = 0 d x² + 18x + 4y - 185 = 0 53 (x + 6)² = 8(y + 19.5) a x² + 12x - 8y - 120 = 0 b x² + 12x - 3y - 210 = 0 c x² + 12x - 10y - 230 = 0 d x² + 12x + 6y + 65 = 0 54 (x + 2)² = - 1(y - 89) a x² + 4x + 10y - 140 = 0 b x² + 4x + y - 85 = 0 c x² + 4x - 8y + 10 = 0 d x² + 4x - y - 250 = 0 55 (x - 8)² = 10(y - 16.1) a x² - 16x + 3y - 170 = 0 b x² - 16x + 7y + 45 = 0 c x² - 16x - 10y + 225 = 0 d x² - 16x + 4y - 100 = 0 56 (x - 8)² = 6(y + 44) a x² - 16x - 10y - 115 = 0 b x² - 16x - y - 205 = 0 c x² - 16x - 8y + 110 = 0 d x² - 16x - 6y - 200 = 0 57 (x + 1)² = 3(y + 17) a x² + 2x - 3y - 50 = 0 b x² + 2x + 5y + 105 = 0 c x² + 2x + 10y + 185 = 0 d x² + 2x + 8y + 185 = 0 58 (x - 7)² = - 1(y + 201) a x² - 14x + 6y - 210 = 0 b x² - 14x + y + 250 = 0 c x² - 14x - 8y + 220 = 0 d x² - 14x - 10y - 55 = 0 59 (x + 4)² = - 3(y + 78) a x² + 8x - 7y - 25 = 0 b x² + 8x - 2y + 135 = 0 c x² + 8x + 3y + 250 = 0 d x² + 8x - 3y + 225 = 0 60 (x - 4)² = - 8(y - 15.125) a x² - 8x - 3y + 100 = 0 b x² - 8x + 4y - 130 = 0 c x² - 8x + 4y - 235 = 0 d x² - 8x + 8y - 105 = 0