UCLA Finding Centers Vertices and The Focii in Different Graphs Exam Practice

Due in one hour, please complete with shown work.

I have attached screenshots of the questions below.

II.
=
find
For the ellipse x2 + y2 = 1,
36 100
10.
the Center,
11.
the Vertices,
12.
the Focii.
III.
find
For the hyperbola x2 – y2 = 1,
9
16
13.
the Center,
14.
the Vertices,
15.
the Focii,
16.
the equations of the Asymptotes
CHAPTER 5, 6, 7 TEST
I. 1.
Is (-3, 0, 1) a solution of
2X-3Y+Z = -5
5X + Y-3Z = -18
-X + 2Y +5Z = 8.
(Yes or No?)
2
.
Solve
X-Y-2Z = 0
– 2x + 5y +10Z
3X + Y = 0
-3
3.
Evaluate the Matrix
0
– 2 4
06
1 0
5
-3
4.
Solve
Y = -X2 + 3
Y – 2x = 0
5.
Is the following an equation of a Parabola, Hyperbola, Circle or
an Ellipse? x2 + 4x-3y2 +8Y -19 = 0
6.
Identify the following as a Circle, Ellipse, Parabola or a Hyperbola.
5x + y2 – 6Y + 34 = 0
7.
Find the vertices of the ellipse
8×2 + 4y2 =
= 64
8.
=
1
Identify the center of the ellipse (X-8)2 + (Y + Z )2
19
37
9.
Write the equation of the ellipse with vertices (+3,0 ) and (0, +4).
IV.
For the parabola x2 = -16 Y,
find
17.
the Vertex,
18.
the Focus,
19.
the Directrix,
20.
the Axis of Symmetry