MATH 2 – STUDY GUIDE FOR CHAPTER 1
1.1 If
the endpoints of a diameter of a circle are (−2,−5) and (−4,
7), find
a. The center of the circle
b. The radius of the circle
c. An equation for the circle
1.1 If
a circle has the equation 5(x+4)2 + 5(y+3)2 = 80,
a. Give the center of the circle
b. Give the radius of the circle
c. Sketch the graph of the circle
1.2 Use
your calculator to sketch the graph of the equation y = (x−5)(2x+7)
− 10 in a suitable window. Sketch
the graph. Your graph must show:
a. Both x-intercepts
b. The y-intercept
c. The turning point (vertex)
d. The dimensions of your viewing window
1.2 Sketch
a complete graph of y = |x+3| −
15 (y = abs(x−3) − 15)
a. Show the graph
b. Show the dimensions of the viewing
window
1.3 Find
an equation of the line (several options here):
a. Through (4,−3) and with slope
−2/3.
b. Through (−5,3) and
(−2,−7)
c. Through (6,−1) and parallel to
the line y = 7x − 2
d. Through (−2,8) and perpendicular
to the line 5x − 3y = 2
1.3 Find
the slope and y-intercept of the line 4x + 7y = 3
1.4 Use
the linear regression feature of your calculator to find the line of best fit
for the data set:
|
x |
1 |
3 |
5 |
5 |
7 |
8 |
8 |
|
y |
17 |
15 |
10 |
12 |
11 |
5 |
2 |
1.4 Use
your calculator to find a linear model y
= mx + b for the data:
|
x |
4 |
7 |
7 |
8 |
12 |
15 |
18 |
|
y |
−14 |
−8 |
−3 |
2 |
0 |
11 |
15 |
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Updated 09/06/05 by Don Power