1.
Find the standard form of the equation 3
x
2
+ 2
y
2
+ 42
x
- 8
y
+ 149 = 0.
A.
B.
C.
D.
Hint
2.
Find the standard form of the equation 2
x
2
+ 2
y
2
= 8
x
-16
y
- 32.
A.
(
x
- 2)
2
+ (
y
+ 4)
2
= 4
B.
2
x
2
+ 2
y
2
- 8
x
+ 16
y
+ 32 = 0
C.
x
2
+
y
2
- 4
x
+ 8
y
+ 16
y
+ 16 = 0
D.
2(
x
- 2)
2
+2(
y
+ 4)
2
= 4
Hint
3.
The graph of the equation -
x
2
+ 4
y
2
- 10
x
- 8
y
- 29 = 0 is a(n) _____.
A.
hyperbola
B.
circle
C.
parabola
D.
ellipse
Hint
4.
The graph represents which of the following?
A.
circle
B.
ellipse
C.
hyperbola
D.
parabola
Hint
5.
What is the major difference between circles and ellipses?
A.
In circles, one of the squared terms has a coefficient that is = 0.
B.
Ellipses may be elongated on one axis, while circles have a constant radius.
C.
Equations for ellipses can always be written in the form
, while circles cannot.
D.
Ellipses are functions of
x
, while circles are not.
Hint