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graphing quadratic functions using the vertex form
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graphing quadratic functions using the vertex form
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pre calculus
Name___________________________________ ID: 1
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graphing quadratic functions using the vertex form
Date________________ Period____
Sketch the graph of each function. 1) y = ( x + 4) 2 - 4
2) y = 2( x - 4) 2 + 2 y
y
2
11 10
1
9 -6
-5
-4
-3
-2
-1
8
1 x
7
-1
6
-2
5 -3
4
-4
3 2
-5
1
-6
1
3) y = 2( x + 3) 2 + 1
2
3
4
5
6
7
8
9 10 11 x
4) y = ( x + 2) 2 + 2 y
y 7
10 9
6
8 7
5
6
4
5 3
4 3
2
2 1 1 -7 -6 -5 -4 -3 -2 -1
1
2
-5
3 x
-4
-3
-2
-1
1 x
Worksheet by Kuta Software LLC
-1-
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5) f ( x) = x 2 - 2 x + 3
6) f ( x) = - x 2 + 2 x + 1
y
y
7
3 2.5 2 1.5 1 0.5
6 5 4 -2
3
1 1
2
3
4
5 x
7) f ( x) = x 2 - 6 x + 13
1
2
3
4 x
-0.5 -1 -1.5 -2 -2.5 -3
2
-1
-1
8) f ( x) = 2 x 2 + 16 x + 31
y
y
9
8
8
7
7
6 5
6
4 5 3 4
2
3
1
2 -8 -7 -6 -5 -4 -3 -2 -1 1 -1
1 x -1
1
2
3
4
5
6
-2
7 x
Worksheet by Kuta Software LLC
-2-
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