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4.10 write quadratic models
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4.10 write quadratic models
1.
Vertex Form Intercept Form Standard
Form
2.
2 y a
x h k y a x p x q 2 y ax bx c
3.
6 4 2 -2 -4 -6 -5 5 2,1
1, 2 2 y a x h k y a x p x q 2 y ax bx c
4.
Vertex 2,1 , Point 1, 2 2 2 1y a x 2 2 1 2 1a 2 y a x h k 2 2 1 1a 2 3 1a 3 a 2 3 2 1y x
5.
6 4 2 -2 -4 -6 -5 5 2,1
1, 2 2 3 2 1y x
6.
6 4 2 -2 -4 -6 -5 5 1,
4 3 2 y a x h k y a x p x q 2 y ax bx c 3
7.
y
a x p x q intercepts: 3, 3 point: 1, 4 3 3y a x x 4 1 3 1 3a 4 4 2a 4 8a 1 2 a 1 2 3 3y x x
8.
6 4 2 -2 -4 -6 -5 5 1,
4 33 1 2 3 3y x x
9.
-2 -4 -6 -8 -10 5 3, 7
0, 10 2 y a x h k y a x p x q 2 y ax bx c 2, 4
10.
points: 2, 4 , 0, 10 , 3, 7 2 2 2 4a b c 2 ax bx c y 4 2 4a b c 2 3 3 7a b c 9 3 7a b c 2 0 0 10a b c 10c
11.
4 2 4a
b c 9 3 7a b c 10c 4 2 10 4a b 9 3 10 7a b 4 2 6a b 9 3 3a b 2 3a b 3 1a b 5 4a 4 5a 4 52 3b 8 5 3b 8 5 15b 5 7b 7 5b 2 74 5 5 10y x x
12.
-2 -4 -6 -8 -10 5 3, 7
0, 10 2, 4 2 74 5 5 10y x x
13.
p. 312 #
3 - 39 (multiples of 3), 47 - 50
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