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(1)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(2)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

21

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(3)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(4)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

21

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(5)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(6)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

21

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(7)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(8)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y

21

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(9)

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

y = 2 ( x 1)2 + 3

= 2 ((2) 1)2 + 3

= 2 ( 3 )2 + 3

= 2× 9 + 3

= 18 + 3

= 21

(10)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

11

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(11)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(12)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

11

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(13)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(14)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

11

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(15)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(16)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

11

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(17)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(18)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11

y = 2 ( x 1)2 + 3

= 2 ((1) 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(19)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(20)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11

5

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(21)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(22)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11

5

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(23)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(24)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11

5

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(25)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(26)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11

5

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(27)

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

y = 2 (x 1)2 + 3

= 2 (0 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(28)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5

3

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(29)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(30)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

3

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(31)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(32)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

3

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(33)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(34)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

3

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(35)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(36)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5 3

y = 2 (x 1)2 + 3

= 2 (1 1)2 + 3

= 2 ( 0 )2 + 3

= 2× 0 + 3

= 0 + 3

= 3

(37)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(38)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

5

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(39)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(40)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

5

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(41)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(42)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

5

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(43)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(44)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3

5

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(45)

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

y = 2 (x 1)2 + 3

= 2 (2 1)2 + 3

= 2 ( 1 )2 + 3

= 2× 1 + 3

= 2 + 3

= 5

(46)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

11 y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(47)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(48)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

11

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(49)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(50)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

11

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(51)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(52)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

11

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(53)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(54)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

y = 2 (x 1)2 + 3

= 2 (3 1)2 + 3

= 2 ( 2 )2 + 3

= 2× 4 + 3

= 8 + 3

= 11

(55)

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(56)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(57)

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(58)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(59)

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(60)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5 3 5 11

(61)

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5 3 5 11

(62)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5 3 5 11

(63)

x y

5 10 15

20 x 2 1 0 1 2 3

y 21 11 5 3 5 11

(64)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(65)

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(66)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(67)

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

(68)

y = 2 (x 1)

2

+ 3 のグラフを描け #30

x y

5 10 15

20 x 2 1 0 1 2 3 y 21 11 5 3 5 11

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