1.
Find the standard form of the equation 2
x
2
+ 2
y
2
= 8
x
-16
y
- 32.
A.
x
2
+
y
2
- 4
x
+ 8
y
+ 16
y
+ 16 = 0
B.
2(
x
- 2)
2
+2(
y
+ 4)
2
= 4
C.
(
x
- 2)
2
+ (
y
+ 4)
2
= 4
D.
2
x
2
+ 2
y
2
- 8
x
+ 16
y
+ 32 = 0
Hint
2.
The graph of the equation -
x
2
+ 4
y
2
- 10
x
- 8
y
- 29 = 0 is a(n) _____.
A.
ellipse
B.
hyperbola
C.
circle
D.
parabola
Hint
3.
The graph of the equation 3
x
2
+ 2
y
2
+ 18
x
+ 21 = 0 is a(n) _____.
A.
hyperbola
B.
parabola
C.
ellipse
D.
line
Hint
4.
What is the major difference between hyperbolas and parabolas?
A.
Hyperbolas are connected, while parabolas are not.
B.
Hyperbolas have the potential to be wider than parabolas.
C.
Parabolas are always a function of
x
, while hyperbolas are not a function of either.
D.
In parabolas, one of the squared terms has a coefficient that is = 0.
Hint
5.
Write the standard form equation of
and identify the conic section.
A.
, ellipse
B.
circle
C.
hyperbola
D.
parabola
Hint