notes over 10.6 writing an equation of a translated parabola write an equation for the parabola
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Notes Over 10.6
2 ,3 :Vertex .1
Writing an Equation of a Translated ParabolaWriting an Equation of a Translated ParabolaWrite an equation for the parabola.
2p
up
4 2 ypx
4 ,3 :Focus3 2
283 2 yx
2
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Notes Over 10.6
2 ,1 :Vertex .2
Writing an Equation of a Translated ParabolaWriting an Equation of a Translated ParabolaWrite an equation for the parabola.
4p
right
4 2 xpy
2 ,5 :Focus1 2
1162 2 xy
4
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Notes Over 10.6
3 ,2 :Vertex .3
Writing an Equation of a Translated ParabolaWriting an Equation of a Translated ParabolaWrite an equation for the parabola.
2p
down
4 2 ypx
5 ,2 :Focus 2 3
382 2 yx
2
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Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.
913 .4 22 yxcircle ,3:center 1
3:radius
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Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.
1
1
4
4
2 .5
22
xy
ellipse
,4:center 21:out distance
2:up/down distance
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Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.
342 .6 2 yxparabola
,2:vertex 3
fast as 4
1up
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Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.
1
16
5
9
2 .7
22
yx
hyperbola ,2:center 5
Transverse Axis: horizontal
3:out distance4:up/down distance
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01148 .8 22 yxyx
Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.
circle
16xx 82 yy 42 11 164 4
24x 22 y 9
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01346 .9 2 yxx
Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.
parabola
9xx 62 134 y 9
23x 44 y
14 y 23x
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01616454169 .10 22 yxyx
Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.
hyperbola
yy 6416 2 xx 549 2 161
2216 y 239 x 144
42 yy 62 xx 16116 94 649 81
144 144 1449 161
9
2 2y 16
3 2x
1
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04484 .11 22 yxyx
Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.
ellipse
xx 84 2 yy 42 4
214 x 22 y 4
22 xx 44 yy 42 1 44 4
4 4 411
1
1 2x 4
2 2y
1
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Notes Over 10.6