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