SlideShare une entreprise Scribd logo
1  sur  13
Vertex Form
Intercept Form
Standard Form
 
2
y a x h k  
  y a x p x q  
2
y ax bx c  
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  
   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   
6
4
2
-2
-4
-6
-5 5
 2,1
 1, 2 
 
2
3 2 1y x   
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
  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  
6
4
2
-2
-4
-6
-5 5
 1, 4
33
  1
2 3 3y x x  
-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 
     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  
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  
-2
-4
-6
-8
-10
5
 3, 7
 0, 10
 2, 4 
2 74
5 5 10y x x  
p. 312 # 3 - 39 (multiples of 3), 47 - 50

Contenu connexe

Similaire à 4.10 write quadratic models

συλλογή ασκήσεων στα πολυώνυμα μιχαήλογλου
συλλογή ασκήσεων στα πολυώνυμα μιχαήλογλουσυλλογή ασκήσεων στα πολυώνυμα μιχαήλογλου
συλλογή ασκήσεων στα πολυώνυμα μιχαήλογλου
Nikos Gkoutziomitros
 
4.8.2 quadratic formula
4.8.2 quadratic formula4.8.2 quadratic formula
4.8.2 quadratic formula
Northside ISD
 
4.7 complete the square
4.7 complete the square4.7 complete the square
4.7 complete the square
Northside ISD
 
11 x1 t09 05 product rule (2013)
11 x1 t09 05 product rule (2013)11 x1 t09 05 product rule (2013)
11 x1 t09 05 product rule (2013)
Nigel Simmons
 
4.4.2 solve by factoring a~1
4.4.2 solve by factoring a~14.4.2 solve by factoring a~1
4.4.2 solve by factoring a~1
Northside ISD
 
4.4.1 factoring, a ~ 1
4.4.1 factoring, a ~ 14.4.1 factoring, a ~ 1
4.4.1 factoring, a ~ 1
Northside ISD
 
11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)
Nigel Simmons
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
Northside ISD
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
Northside ISD
 
S101-83北市松山工農(第2次)
S101-83北市松山工農(第2次)S101-83北市松山工農(第2次)
S101-83北市松山工農(第2次)
yustar1026
 

Similaire à 4.10 write quadratic models (20)

συλλογή ασκήσεων στα πολυώνυμα μιχαήλογλου
συλλογή ασκήσεων στα πολυώνυμα μιχαήλογλουσυλλογή ασκήσεων στα πολυώνυμα μιχαήλογλου
συλλογή ασκήσεων στα πολυώνυμα μιχαήλογλου
 
4.8.2 quadratic formula
4.8.2 quadratic formula4.8.2 quadratic formula
4.8.2 quadratic formula
 
Solución del modelo de examen
Solución del modelo de examenSolución del modelo de examen
Solución del modelo de examen
 
Integral por partes-1.pptx
Integral por partes-1.pptxIntegral por partes-1.pptx
Integral por partes-1.pptx
 
4.7 complete the square
4.7 complete the square4.7 complete the square
4.7 complete the square
 
11 x1 t09 05 product rule (2013)
11 x1 t09 05 product rule (2013)11 x1 t09 05 product rule (2013)
11 x1 t09 05 product rule (2013)
 
4.4.2 solve by factoring a~1
4.4.2 solve by factoring a~14.4.2 solve by factoring a~1
4.4.2 solve by factoring a~1
 
Interesting Mathematics7- Belgium
Interesting Mathematics7- Belgium Interesting Mathematics7- Belgium
Interesting Mathematics7- Belgium
 
4.4.1 factoring, a ~ 1
4.4.1 factoring, a ~ 14.4.1 factoring, a ~ 1
4.4.1 factoring, a ~ 1
 
11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)
 
龍騰[掌握]數學C複習講義
龍騰[掌握]數學C複習講義龍騰[掌握]數學C複習講義
龍騰[掌握]數學C複習講義
 
Hidden markov model
Hidden markov modelHidden markov model
Hidden markov model
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
 
autoevaluacion-4 matematica basica
autoevaluacion-4 matematica basicaautoevaluacion-4 matematica basica
autoevaluacion-4 matematica basica
 
1 algebra
1 algebra1 algebra
1 algebra
 
Kunci Sukino 3A Bab 3
Kunci Sukino 3A Bab 3Kunci Sukino 3A Bab 3
Kunci Sukino 3A Bab 3
 
S101-83北市松山工農(第2次)
S101-83北市松山工農(第2次)S101-83北市松山工農(第2次)
S101-83北市松山工農(第2次)
 
ゲーム理論 BASIC 演習102 -一対一マッチング 3- #ゲーム理論 #gametheory #数学
ゲーム理論 BASIC 演習102 -一対一マッチング 3- #ゲーム理論 #gametheory #数学ゲーム理論 BASIC 演習102 -一対一マッチング 3- #ゲーム理論 #gametheory #数学
ゲーム理論 BASIC 演習102 -一対一マッチング 3- #ゲーム理論 #gametheory #数学
 
ゲーム理論 BASIC 演習101 -一対一マッチング- Gametheory
ゲーム理論 BASIC 演習101  -一対一マッチング-  Gametheoryゲーム理論 BASIC 演習101  -一対一マッチング-  Gametheory
ゲーム理論 BASIC 演習101 -一対一マッチング- Gametheory
 

Plus de Northside ISD

6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
Northside ISD
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
Northside ISD
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulas
Northside ISD
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
Northside ISD
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
Northside ISD
 
6.5.2 half angle formulas
6.5.2 half angle formulas6.5.2 half angle formulas
6.5.2 half angle formulas
Northside ISD
 
4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 var4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 var
Northside ISD
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically
Northside ISD
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically
Northside ISD
 
4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphs4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphs
Northside ISD
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
Northside ISD
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
Northside ISD
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
Northside ISD
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulas
Northside ISD
 
4.10.2 write models with calc reg
4.10.2 write models with calc reg4.10.2 write models with calc reg
4.10.2 write models with calc reg
Northside ISD
 
6.3.1 trig identities
6.3.1 trig identities6.3.1 trig identities
6.3.1 trig identities
Northside ISD
 
6.3.2 trig identities, establish identities
6.3.2 trig identities, establish identities6.3.2 trig identities, establish identities
6.3.2 trig identities, establish identities
Northside ISD
 
4.6 sqr rts with complex numbers
4.6 sqr rts with complex numbers4.6 sqr rts with complex numbers
4.6 sqr rts with complex numbers
Northside ISD
 
4.5 solve by finding square roots
4.5 solve by finding square roots4.5 solve by finding square roots
4.5 solve by finding square roots
Northside ISD
 
4.7 write in vertex form
4.7 write in vertex form4.7 write in vertex form
4.7 write in vertex form
Northside ISD
 

Plus de Northside ISD (20)

6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulas
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
 
6.5.2 half angle formulas
6.5.2 half angle formulas6.5.2 half angle formulas
6.5.2 half angle formulas
 
4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 var4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 var
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically
 
4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphs4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphs
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulas
 
4.10.2 write models with calc reg
4.10.2 write models with calc reg4.10.2 write models with calc reg
4.10.2 write models with calc reg
 
6.3.1 trig identities
6.3.1 trig identities6.3.1 trig identities
6.3.1 trig identities
 
6.3.2 trig identities, establish identities
6.3.2 trig identities, establish identities6.3.2 trig identities, establish identities
6.3.2 trig identities, establish identities
 
4.6 sqr rts with complex numbers
4.6 sqr rts with complex numbers4.6 sqr rts with complex numbers
4.6 sqr rts with complex numbers
 
4.5 solve by finding square roots
4.5 solve by finding square roots4.5 solve by finding square roots
4.5 solve by finding square roots
 
4.7 write in vertex form
4.7 write in vertex form4.7 write in vertex form
4.7 write in vertex form
 

4.10 write quadratic models

  • 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