Algebraic Manipulation Worksheets - Algebra 2 Unit 5 (Chapter 4) - Buchanan Math Department Page 9
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1
2
3
4
5
6
7
8
9
10
11Review
Graph the following parabolas. Find and label the following:
a) Vertex
b) Axis of Symmetry
c) Domain
d) Range
y
x
y
x
x
1.
3
2
9.
2
2
4
5
=
=
+
+
y
x
y
x
x
2.
2
2
10.
3
2
18
26
= −
=
−
+
( )
y
x
f x
x
x
11.
3.
2
2
2
2
4
7
= −
+
=
−
+
−
y
x
4.
5
2
1
y
x
x
=
+
4
16
17
12.
2
=
−
+
(
)
2
2
13.
y = x
+ 8x + 2
5.
y
x
3
5
= −
+
+
2
14.
y = 4x
– 8
(
)
2
y
x
6.
3
=
−
−
1
2
15.
y =
(x+1)
+ 3
( )
(
)
2
g x
x
7.
4
2
4
=
−
−
+
3
2
(
)
16.
y = (x + 2)
2
y
x
8.
2
1
3
=
+
−
For problems 17 – 19 tell whether the function has a minimum value or a
maximum value. Then find the minimum or maximum value.
1
2
2
2
17.
y =
(x + 2)
– 5
18.
y = -5x
+ 6
19.
y = x
– 4x + 7
4
2
20.
Given:
y = –3(x + 4)
– 8. If the function is shifted left 3 and up 4, write
an equation that describes the new function.
1
2
21.
Given: y – 6 =
(x – 2)
.
If the function is shifted down 6 and left 3,
4
write an equation that describes the new function.
2
2
22.
If the two functions
f(x) = 2(x + 4)
+ 1
and
g(x) = –2(x – 4)
+ 3
were graphed on the same axis, which statement would be true.
a)
They have the same vertex
b)
They open the same direction.
c)
They have the same width
d)
They have the same line of sym
(Continued on next page)
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