Algebra 3 Solving Quadratic Equations Worksheet - Brunel University Page 13
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1
2
3
4
5
6
7
8
9
10
11
12
13125
100
2
2 x 3
75
C = 41
50
y
25
2
y = 2(x+3)
shift the graph
down
0
2
2 x 3
41
-25
-4
4
-10
-8
-6
-2
0
2
x
125
2
2 x
100
2
2 x 3
75
2
x
50
y
All transformations on one graph
25
0
2
2 x 3
41
-25
-10
-8
-6
-4
-2
0
2
4
x
Exercises
Sketch the graphs
3
31
2
2
(x + 1)
9
3(x
)
1.
4.
,
2
4
1
1
121
2
2
(x
3)
+ 4
(x
)
2.
5.
5
10
20
1
19
2
2(x +
)
3.
2
2
Solutions to Exercises
2
2
y = x
1
y = (x + 1)
9
1. shift the graph
to the left by
, shift the graph
down by
.
2
2
y = x
3
y = (x
3)
4
2. shift the graph
to the right by
, shift the graph
up by
.
2
2
y = x
2
y = 2x
3. stretch the graph
vertically by
times, shift the graph
to the left by
1
2
1/2
y = (x +
)
19/2
, shift the graph
down by
.
2
2
2
y = x
3
y = 3x
4. stretch the graph
vertically by
times, shift the graph
to the right
3
2
3/2
y = 3(x
)
31/4
by
, shift the graph
down by
.
2
1
2
2
y = x
5
y =
x
5. compress the graph
vertically by
times, shift the graph
to the right
5
1
1
2
1/10
y =
(x
)
121/20
by
, shift the graph
down by
.
5
10
13
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