1 23101 1
3
4
6 1
1. /
y = ax2 + bx + c x, y a , b , c
a 0 2. / 3.1 2 3 .3/1
1.
2. 6.1 3.
3.1 (K)
1.
2.
3.2 (P)
1.
3.3 (A)
1.
2.
3. 4.
4.1
1.
4.2
-5.
5.1
5.2
5.3
5.4
5.5 6.
6.1
6.2
6.3 7.
7.1
7.2 1 y = ax2 a 0
7.3 1 y = 4x2 40x + 120
7.4 y = ax2 + bx + c x , y a , b , c a = 0
7.5 8.
1. 80
2. 80
3. 80
9.
9.1 1
9.2 1
10.
-11.
- 2
23101 1
3
4
6 2
1. /
y = ax2 + bx + c x, y a , b , c
a 0 2. / 3.1 2 3 .3/1
1.
2. 6.1 3.
3.1 (K)
1.
2.
3.2 (P)
1.
3.3 (A)
1.
2.
3. 4.
4.1
1.
4.2
-5.
5.1
5.2
5.3
5.4
5.5 6.
6.1
6.2
6.3 7. 7.1 1
Same axes
Graph
Function
Using
Given
Same
Coordinate
Compare
Activity
7.2 (1,2) , (3,4) , (-1,4) , (-3,-2) , (2,-3) , (4,0) , (0,0) ,
(-5,0) , (0,4) 7.3 2 7.4 7.5 y = ax2 + k a ( 0 a > 0
y = 2x2 , y = 2x2 + 2 , y = 2x2 - 2
y x x
y = ax2 + k a > 0 y = -2x2 , y = -2x2 + 2 , y = -2x2 - 2 y =
2x2 , y = 2x2 + 2 , y = 2x2 - 2
7.6 y = -2x2 + 1
X-2-1012
y-7-11-1-7
x y 7.7 2
8.
1. 80
2. 80
3. 80
9. 2
210.
-
11.
-
3
23101 1
3
4
6 3
1. /
y = ax2 + bx + c x, y a , b , c
a 0 2. / 3.1 2 3 .3/1
1.
2. 6.1 3.
3.1 (K)
1.
2.
3.2 (P)
1.
3.3 (A)
1.
2.
3. 4.
4.1
1.
4.2
-5.
5.1
5.2
5.3
5.4
5.5 6.
6.1
6.2
6.3 7. 7.1
On same axes
Draw
Match
Example
Function
Corresponds
Given
Coordinate
Plane
Compare
7.2 y = x2 , y = 2x2 , y = -x2 , y = -2x2
7.3 y = x2 , y = x2 + 2 , y = x2 + 3 7.4 3 7.5
y = x2
y = x2
y = 2x2
y = -x2
y = x2 , y = -x2
y = ax2 + k y = x2 , y = x2 + 2 , y = x2 + 3 7.6 y = (x + 3)2 ,
y = (x + 1)2 , y = (x - 2)2 7.7 3
8.
1. 80
2. 80
3. 80
9. 310.
-
11.
-
4
23101 1
3
4
6 4
1. /
y = a(x - h)2 + k (h,k) x = h a > 0 2. /
3.1 2 3 .3/1
1.
2. 6.1 3.
3.1 (K)
1.
2.
3.2 (P)
1.
3.3 (A)
1.
2.
3. 4.
4.1
1.
4.2
-5.
5.1
5.2
5.3
5.4
5.5 6.
6.1
6.2
6.3 7. 7.1 y = ax2 + bx + c x , y a, b, c a ( 0 y = ax2 a ( 0 a
( 1 (0,0) a a a > 0 y = ax2 y = -ax2 , a > 0 7.2 y = ax2 + k
7.3 y = (x 1)2 , y = x2 , y = (x + 2)2
7.4 4 y = a(x - h)2 + k a ( 0 7.5
Given
Find
Activity
Maximum
X intercepts
x
Y intercepts
y
Sketch
Graph
Guadratic function7.6 4
8.
1. 80
2. 80
3. 80
9. 9.1 9.2 4
9.3 1
10.
-
11.
-
5
23101 1
3
4
6 5
1. /
y = ax2 + bx + c a , b , c y = a(x - h)2 + k
2. / 3.1 2 3 .3/1
1.
2. 6.1 3.
3.1 (K)
1.
2.
3.2 (P)
1.
3.3 (A)
1.
2.
3. 4.
4.1
1.
4.2
-5.
5.1
5.2
5.3
5.4
5.5 6.
6.1
6.2
6.3 7. 7.1
x2 + 4x + 4=x2 + 2(2)x + 22
=(x + 2)2
x2 6x + 9=x2 - 2(3)x + 32
=(x - 3)3
x2 + 10x + 49 =x2 + 2(7)x + 72
=(x + 7)2
7.2
x2 49
=x2 - 72
=(x - 7)(x + 7)
x2 25
=(x - 5)(x + 5)
x2 49y2=(x 7y)(x + 7y)
x2 64
=(x - 8)(x + 8)
7.3 y = a(x - h)2 + k 7.4 5 7.5 y = a(x - h)2 + k 7.6 y = x2 +
4x + 1 y = a(x - h)2 + k
y =x2 + 2(2)x + 22 - 22 + 1
=(x + 2)2 - 4 + 1
=(x + 2)2 - 3
(-2,-3)
x = -2
y = -3
y (0,1)7.7 5
8.
1. 80
2. 80
3. 80
9. 9.1 9.2 5
9.3 1
10.
-
11.
-
6
23101 1
3
4
6 6
1. /
y = ax2 + bx + c a , b , c y = a(x - h)2 + k
2. / 3.1 2 3 .3/1
1.
2. 6.1 3.
3.1 (K)
1.
2.
3.2 (P)
1.
3.3 (A)
1.
2.
3. 4.
4.1
1.
4.2
-5.
5.1
5.2
5.3
5.4
5.5 6.
6.1
6.2
6.3 7.
7.1 y = a(x - h)2 + k ; a > 0 a < 0 (h,k) x = h y = k
7.2
80
ABCD y y = x (40 - x)y = -x2 + 40x
y = -x2 + 40x
y = -x2 + 40x
= -x2 40x (
= (x2 -2(20)x + 202 202(
= -((x-20)2 + 400(
(20,400)
x = 0 , y = 400
y (0,0)
7.3 y = a(x - h)2 + k
7.4 5
7.5 y = x2 , y = 2x2 , y = 3x2 7.6 y = -x2 , y = -2x2 , y = -3x2
7.7 x y x y
7.8 6
8.
1. 80
2. 80
3. 80
9. 9.1 6
9.2 1
10.
-
11.
-
A
D
C
B
X
X
QUOTE ABCD 80 AB X
BC = QUOTE = 40 x
