17268372
| Question | Answer |
| Before we transform a conic, what should we do? | Get x values and y values both on the same side |
| How should we go about translating by the vector [a][0] ? | Replace x with (x-a) |
| How should we go about translating by the vector [0][b] ? | Replace y with (y-b) |
| How should we go about stretching in the x-direction by sf a ? | Replace x with (x/a) |
| How should we go about stretching in the y-direction by sf b ? | Replace y with (y/b) |
| How should we go about a reflection in the x-axis ? | Replace y with (-y) |
| How should we go about a reflection in the y-axis ? | Replace x with (-x) |
| How should we go about a reflection in the line y=x ? | Replace all y's with x's and all x's with y's |
| How should we go about a reflection in the line y=-x ? | Replace all y's with -x's and all x's with -y's |
| Translate x^2/6 + y^2/2 = 1 by the vector [3][-2] | (x-3)^2/6 + 3(y+2)^2/6 = 1 Same as (x-3)^2 + 3(y+2)^2 = 6 Expand for x^2+6x+3y^2+12y+15=0 |
| Stretch y^2=18x in the y-direction sf 3 | (y/3)^2 = 18x , y^2/9 = 18x , y^2=162x |
| Reflect x^2/6 - y^2/9 = 1 in line y=x | y^2/6 - x^2/9 = 1 , 3y^2/18 - 2x^2/18 = 1 3y^2 - 2x^2 = 18 |
| Reflect y^2=4x in y-axis | y^2=-4x , y^2+4x=0 |
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