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.
2(
x
- 2)
2
+2(
y
+ 4)
2
= 4
C.
(
x
- 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 4
y
2
- 2
x
- 4
y
-7 = 0 is a(n) _____.
A.
line
B.
parabola
C.
hyperbola
D.
ellipse
Hint
3.
The graph of the equation -
x
2
+ 4
y
2
- 10
x
- 8
y
- 29 = 0 is a(n) _____.
A.
circle
B.
hyperbola
C.
parabola
D.
ellipse
Hint
4.
What is the major difference between circles and ellipses?
A.
Ellipses are functions of
x
, while circles are not.
B.
Equations for ellipses can always be written in the form
, while circles cannot.
C.
Ellipses may be elongated on one axis, while circles have a constant radius.
D.
In circles, 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.
parabola
B.
hyperbola
C.
, ellipse
D.
circle
Hint