Algebraic Manipulation Worksheets - Algebra 2 Unit 5 (Chapter 4) - Buchanan Math Department Page 3

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Worksheet 1
For problems 1-15:
a) State the line of
d) State whether the
e) State the domain
symmetry
parabola has a maximum
b) State the vertex
or a minimum and give
f) State the range
c) Sketch the parabola
that value
2
2
2
1.
y = (x – 5)
– 2
6.
y = 3(x – 2)
– 5
11.
y = – (x – 3)
2
7.
y = –3x
– 4
1
2
12.
y = 5(x + 3)
+ 2
2
2.
y =
(x + 6)
+ 4
4
2
8.
y = – (x – 6)
– 7
2
13.
y = 2x
+ 4
2
3.
y = –2(x + 1)
– 3
2
2
9.
y =
(x + 1)
2
14.
y = 3x
1
3
2
4.
y = –
(x – 4)
+ 1
2
1
2
10.
y =
x
+ 1
1
2
15.
y = –
x
– 2
2
5.
y = (x + 2)
5
4
16.
Which multiple choice could be the equation of the graph shown?
2
A.
y = –2(x + 2)
+ 4
2
B.
y = – 2(x – 2)
+ 4
2
C.
y = –2(x + 2)
– 4
2
D.
y = – 2(x – 2)
– 4
17.
Which multiple choice could be the equation of the graph shown?
2
A.
y = 2(x + 3)
+ 2
2
B.
y = 2(x – 3)
+ 2
2
C.
y = 2(x + 3)
– 2
2
D.
y = 2(x – 3)
– 2
(Continued on next page)

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