Refresher Course Math 1050 and 1060 Practice Problems Set 5 Fall 2007
1.) Find a parabola whose vertex is (2,-3) opening down passing through the point
(0,—i 1).
y•
y
q
=
0
-/ (
y
H?
Q
-Zq
LLz___
2.) Graph f(x)
=
2
x
— 8x + 16
by identifying the y-intercepts, x-intercepts, and vertex.
(
y
-
-
I
cp
ti
ô)
yc (-yj
3.) Describe the graph off(x)
2Yo5
i
7
5
q
chair
=
(x+ 2).
2
(x— 3)
x=Y
y=Y-L
I
—
L
L
_>
—
Page 1 of 2
Refresher Course Math 1050 and 1060 Practice Problems Set 5 Fall 2007
4.) Sketch the graph of f(x)
—9
2
x
Make sure you find the y-intercepts, x
x —2x—3
intercepts, vertical asymptotes, horizontal asymptotes, and some additional points.
-i)
=
.
2
VrFFcI ayrnp’k
XfJ
tJ
(x()
15 y2 3
KJ
15
L
1/17
U.-
4
z
‘V
/44
5
-
7
5.) Find the slanted asymptotes of f(x)
+2x
3
x
+
2
4
=
.
2x 2 +1
Why do we know
it
has a
slanted asymptote?
8
e
of
yqi
*h
*i7
//7
Page 2 of 2
i-c i’
fhq
fl1 Y