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