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