Quadratics Converting Vertex Form to Standard Form
Math 2 Support
ID: 1
Name___________________________________
Converting Quadratics: Vertex Form to Standard Form
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Sketch the graph of each function.
Date________________
1) y = (x - 2)2 + 3
2) y = (x + 1)2 - 3
3) y = -(x + 3)2 - 3
4) y = 1 (x - 2)2 - 4
2
5) y = -2(x + 1)2 + 3
6) y = -3(x + 4)2 + 1
7) y = 2(x - 3)2 + 2
8) y = 3(x + 3)2 - 4
9) y = -3(x + 3)2 - 2
10) y = -(x - 2)2 - 2
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-1-
Worksheet by Kuta Software LLC
Convert each quadratic from Vertex Form to Standard Form. Then solve the quadratic equations.
11) y = 2(x - 2)2 - 2
12) y = -(x - 1)2 - 3
13) y = 2(x + 3)2 - 2
14) y = -2(x - 2)2 - 3
15) y = (x - 4)2 + 4
16) y = 3(x - 3)2 + 1
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-2-
Worksheet by Kuta Software LLC
Math 2 Support
ID: 1
Name___________________________________
Converting Quadratics: Vertex Form to Standard Form
?8 J2c031k2a JKUuDt9aF 4SVoyf4towHaIrpe8 KLtLOCe.D 2 kA9l6lT orei6ghhqttsR zrNeIsdeKrPvUeIdV.n
Sketch the graph of each function.
Date________________
1) y = (x - 2)2 + 3
8 7 6 5 4 3 2 1
-3 -2 -1 0 1 2 3 4 5
3) y = -(x + 3)2 - 3
-6 -5 -4 -3 -2 -1 0 1 2
-2 -3 -4 -5 -6 -7 -8
2) y = (x + 1)2 - 3
2 1
-4 -3 -2 -1 0 -1 -2 -3 -4
4) y = 1 (x - 2)2 - 4
2 1
12
-1 0 -1 -2 -3 -4 -5 -6
12345
5) y = -2(x + 1)2 + 3
4
2
7) y = 2(x - 3)2 + 2
-4 -2 0 -2 -4 -6
24
10 8 6 4 2
-2 0 2 4 6 8
9) y = -3(x + 3)2 - 2
-8 -4 0
-4 -6 -8 -10 -12 -14
6) y = -3(x + 4)2 + 1
2
8) y = 3(x + 3)2 - 4
-12
-8
-4
0
-2
-4
-6
-8
-10
-12
8 6 4 2
-6 -4 -2 0 -2
-4
246
10) y = -(x - 2)2 - 2
-1 0 -1 -2 -3 -4 -5 -6 -7
12345
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-1-
Worksheet by Kuta Software LLC
Convert each quadratic from Vertex Form to Standard Form. Then solve the quadratic equations.
11) y = 2(x - 2)2 - 2
12) y = -(x - 1)2 - 3
6 4 2
0
2468
-2
-1 0 1 2 3 4 5 6 7
-2 -3 -4 -5 -6 -7 -8
13) y = 2(x + 3)2 - 2
6 4 2
-8 -6 -4 -2 0
2
-2
14) y = -2(x - 2)2 - 3
-6 -4 -2 0 -2 -4 -6 -8 -10 -12
246
15) y = (x - 4)2 + 4
8 6 4 2 0 123456789
16) y = 3(x - 3)2 + 1
14 12 10 8 6 4 2
-6 -4 -2 0 2 4 6 8
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-2-
Worksheet by Kuta Software LLC
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