Hello,

I need all of the questions attached answered fully and correctly.

There are 15 questions. A graphing calculator will be needed.

I do not believe these questions should take too much time.

Please contact me if you need anything.

Thank you,

B.

35. Write an equation for a graph that is the set of all points in a plane that are equidistant

from the point F(2,0) and the line x = -2.

a. X=

1 2

y

8

x?

b. y =

8

1

C. X =

8

1

d.y=

8

11 38²

– x?

36. Which conic section represents this equation 3y? – x – 6y + 5 = 0?

a. circle

b. ellipse

c. parabola

d. hyperbola

37. Which conic section represents this equation x + y2 – 4x – 6y + 4 = 0?

a. circle

b. ellipse

c. parabola

d. hyperbola

38. Which conic section represents this equation 4x² + y2 – 16x – 6y + 9 = 0?

a. circle

b. ellipse

c. parabola

d. hyperbola

39. Which conic section represents this equation 4×2 – y2 – 16x + 6y – 9 = 0?

a. circle

b. ellipse

c. parabola

d. hyperbola

40. Write an equation for a parabola with a vertex at the origin and focus at (0, -2).

a.y=-x ?

b. y = kx

c. x= -2y?

d. x = 2y

41. Write an equation for a parabola with a vertex at the origin and directrix x = 7.

a.y=-7x?

b.y=7x?

1 2

C. X=-

28

1

d.x=

28

42. Write an equation for an ellipse with C(0, 0), vertex (4, 0), co-vertex (0, -3).

a.

X

b.

+

2 2

х

16 9

2.

2

у

= 1

16 9

2 2

х y

+

1

9

16

2 2

х y

1

9 16

2

c.

+

=

d.

43. Write an equation for an ellipse with C(3, -2), vertical major axis of length 12, minor axis

of length 10.

a.

+

= 1

b.

+

(x-3)? (y + 2)?

25

36

(x+3)2 (y-2)

= 1

25

36

(x-3)? (y + 2)?

= 1

36

25

2

(y + 2)

= 1

25

36

C.

+

(x-3)?

d.

+

–

44. Write an equation for a hyperbola with vertices (3,7), (-3, 7) and foci (5, 7) and (-5, 7).

x? (y-7)?

a.

= 1

16 9

2

(x – 7)?

b.

у

= 1

9 16

x? (y-7)

-7)?

= 1

9 16

2

d.

= 1

9 16

c.

+

(y – 7)?

45. Write an equation for a hyperbola with vertices (-3,-1), (-5, -1), foci (0, -1), (-8, -1).

(x+4)?

-(y + 1)2 = 1

15

a.

b. (x +4)2 + (y + 1)2

= 1

15

C. (x+4)2_ (y + 1)2

= 1

15

(x + 1)2

d. (y + 4)?

1

15

46. Find the center of this circle (x – 2)2 + (y – 3)2 = :

a.(3, 2)

b. (2,3)

c.(-2, -3)

d.(-2, 6)