1.
Find the standard form of the equation 2
x
2
+ 2
y
2
= 8
x
-16
y
- 32.
A.
2
x
2
+ 2
y
2
- 8
x
+ 16
y
+ 32 = 0
B.
(
x
- 2)
2
+ (
y
+ 4)
2
= 4
C.
x
2
+
y
2
- 4
x
+ 8
y
+ 16
y
+ 16 = 0
D.
2(
x
- 2)
2
+2(
y
+ 4)
2
= 4
Hint
2.
The graph of the equation 4
y
2
- 2
x
- 4
y
-7 = 0 is a(n) _____.
A.
ellipse
B.
line
C.
hyperbola
D.
parabola
Hint
3.
The graph of the equation 3
x
2
+ 2
y
2
+ 18
x
+ 21 = 0 is a(n) _____.
A.
line
B.
parabola
C.
ellipse
D.
hyperbola
Hint
4.
What is the major difference between hyperbolas and parabolas?
A.
Parabolas are always a function of
x
, while hyperbolas are not a function of either.
B.
In parabolas, one of the squared terms has a coefficient that is = 0.
C.
Hyperbolas have the potential to be wider than parabolas.
D.
Hyperbolas are connected, while parabolas are not.
Hint
5.
Write the standard form equation of
and identify the conic section.
A.
hyperbola
B.
hyperbola
C.
parabola
D.
ellipse
Hint