1. Find the equation of the parabola satisfying the given conditions.
Focus: (3,6); Directrix: x=β1
A. (xβ1)2=8(yβ6)
B. (yβ6)2=8(xβ1)
C. (xβ1)2=β8(yβ6)
D. (yβ6)2=β8(xβ1)
2. Find the equation of the parabola satisfying the given conditions.
Focus: (β6,3); Directrix: y=1
A. (yβ2)2=4(x+6)
B. (x+6)2=4(yβ2)
C. (x+6)2=β4(yβ2)
D. (yβ2)2=β4(x+6)
3. Find the equation of an ellipse that has foci at (β1,0) and (4,0), where the sum of the distances between each point on the ellipse and the two foci is 9.
A. (x+1)2+y2ββββββββββββ+(xβ4)2+y2ββββββββββββ=9
B. (xβ1)2+y2ββββββββββββ+(x+4)2+y2ββββββββββββ=9
C. (x+1)2+y2ββββββββββββ+(xβ4)2+y2ββββββββββββ=81
D. (xβ1)2+y2ββββββββββββ+(x+4)2+y2ββββββββββββ=81
4. Find the equation of a hyperbola that has foci at (β1,0) and (4,0), where the difference of the distances between each point on the ellipse and the two foci is 5.
A. (x+1)2+y2βββββββββββββ(xβ4)2+y2ββββββββββββ=25
B. (xβ1)2+y2βββββββββββββ(x+4)2+y2ββββββββββββ=5
C. (xβ1)2+y2βββββββββββββ(x+4)2+y2ββββββββββββ=25
D. (x+1)2+y2βββββββββββββ(xβ4)2+y2ββββββββββββ=5