1.
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
y
2
- 8
x
+ 16
y
+ 32 = 0
C.
2(
x
- 2)
2
+2(
y
+ 4)
2
= 4
D.
x
2
+
y
2
- 4
x
+ 8
y
+ 16
y
+ 16 = 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.
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.
Parabolas are always a function of
x
, while hyperbolas are not a function of either.
C.
Hyperbolas are connected, while parabolas are not.
D.
Hyperbolas have the potential to be wider than parabolas.
Hint
4.
What is the major difference between circles and ellipses?
A.
In circles, one of the squared terms has a coefficient that is = 0.
B.
Ellipses are functions of
x
, while circles are not.
C.
Equations for ellipses can always be written in the form
, while circles cannot.
D.
Ellipses may be elongated on one axis, while circles have a constant radius.
Hint
5.
Write the standard form equation of
and identify the conic section.
A.
circle
B.
hyperbola
C.
, ellipse
D.
parabola
Hint