University of Nebraska Algebra Questions

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)