Chapter 13_ Sample Exam
Please answer all the questions and show work where appropriate.
1. Given two points
()
2,3 โโ and
(
)
4,1
โ
:
a. Find the midpoint between them.
b. Calculate the distance between them.
2. Graph 96
2โ+โ= xxy . Label the vertex and any intercepts.
Graph the following conic sections and label all appropriate points:
3. 020104
22 =+โโ+ yxyx
4. 035216160416 22 =+โ++ yxyx
5. 02815450925 22 =โ++โ xyxy
6. Find the equation of a circle, in standard form, with center
(
)
3,2 โ
โ
and radius 5
units.
7. Find the equation of the given 8. Find the equation of the given
the graph of the conic section: given the graph of the conic.
9. Find the x & y โ intercepts of
(
)
(
)
1
4
1
100
322
=
+
โ
โyx .
10. Solve the nonlinear system: โช
โญ
โช
โฌ
โซ
+=
=+
2
10
2
22
xy
yx
x
y
-3 -2 -1 0 1 2 3 4 5 6 7
-3
-2
-1
1
2
3
4
5
6
7
x
y
-7 -6 -5 -4 -3 -2 -1 0 1 2
-5
-4
-3
-2
-1
1
2
3
4
5
6
