SECONDARY MATH II // MODULE 2

STRUCTURES OF EXPRESSIONS – 2.9

2.9

Needhelp?Visitwww.rsgsupport.org

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

READY Topic:MultiplyingBinomialsUsingaTwo-WayTable

Multiplythefollowingbinomialsusingthegiventwo-waytabletoassistyou.

Example:(2x+3)(5x–7)

=10x2+x–21

1.(3x–4)(7x–5) 2.(9x+2)(x+6) 3.(4x–3)(3x+11)4.(7x+3)(7x–3) 5.(3x–10)(3x+10) 6.(11x+5)(11x–5) 7.(4x+5)2 8.(x+9)2 9.(10x–7)2 10.The“like-term”boxesin#’s7,8,and9revealaspecialpattern.Describetherelationshipbetweenthemiddlecoefficient(b)andthecoefficients(a)and(c).

READY, SET, GO! Name PeriodDate

SECONDARY MATH II // MODULE 2

STRUCTURES OF EXPRESSIONS – 2.9

2.9

Needhelp?Visitwww.rsgsupport.org

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

SET

Topic:FactoredFormofaQuadraticFunction

Giventhefactoredformofaquadraticfunction,identifythevertex,intercepts,andverticalstretchoftheparabola.11.𝑦 = 4 𝑥 − 2 𝑥 + 6 12.𝑦 = −3 𝑥 + 2 𝑥 − 6 13.𝑦 = 𝑥 + 5 𝑥 + 7

a.Vertex:_______________ a.Vertex:_______________ a.Vertex:_______________

b.x-inter(s)____________ b.x-inter(s)____________ b.x-inter(s)___________

c.y-inter________________ c.y-inter:_______________ c.y-inter_______________

d.Stretch_______________ d.Stretch_______________ d.Stretch_______________

14.𝑦 = !!𝑥 − 7 𝑥 − 7 15.𝑦 = − !

!𝑥 − 8 𝑥 + 4 16.𝑦 = !

!𝑥 − 25 𝑥 − 9

a.Vertex:_______________ a.Vertex:_______________ a.Vertex:_______________

b.x-inter(s)____________ b.x-inter(s)____________ b.x-inter(s)___________

c.y-inter________________ c.y-inter:_______________ c.y-inter_______________

d.Stretch_______________ d.Stretch_______________ d.Stretch_______________

17.𝑦 = !!𝑥 − 3 𝑥 + 3 18.𝑦 = − 𝑥 − 5 𝑥 + 5 19.𝑦 = !

!𝑥 + 10 𝑥 + 10

a.Vertex:_______________ a.Vertex:_______________ a.Vertex:_______________

b.x-inter(s)____________ b.x-inter(s)____________ b.x-inter(s)___________

c.y-inter________________ c.y-inter:_______________ c.y-inter_______________

d.Stretch_______________ d.Stretch_______________ d.Stretch_______________

SECONDARY MATH II // MODULE 2

STRUCTURES OF EXPRESSIONS – 2.9

2.9

Needhelp?Visitwww.rsgsupport.org

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

GO Topic:VertexFormofaQuadraticEquation

Giventhevertexformofaquadraticfunction,identifythevertex,intercepts,andverticalstretchoftheparabola.20.𝑦 = 𝑥 + 2 ! − 4 21.𝑦 = −3 𝑥 + 6 ! + 3 22.𝑦 = 2 𝑥 − 1 ! − 8

a.Vertex:_______________ a.Vertex:_______________ a.Vertex:_______________

b.x-inter(s)____________ b.x-inter(s)____________ b.x-inter(s)___________

c.y-inter________________ c.y-inter:_______________ c.y-inter_______________

d.Stretch_______________ d.Stretch_______________ d.Stretch_______________

23.𝑦 = 4 𝑥 + 2 ! − 64 24.𝑦 = −3 𝑥 − 2 ! + 48 25.𝑦 = 𝑥 + 6 ! − 1

a.Vertex:_______________ a.Vertex:_______________ a.Vertex:_______________

b.x-inter(s)____________ b.x-inter(s)____________ b.x-inter(s)___________

c.y-inter________________ c.y-inter:_______________ c.y-inter_______________

d.Stretch_______________ d.Stretch_______________ d.Stretch_______________

26.Didyounoticethattheparabolasinproblems11,12,&13arethesameastheonesinproblems23,24,&25respectively?Ifyoudidn’t,gobackandcomparetheanswersinproblems11,12,&13andproblems23,24,&25. Provethat a. 4 𝑥 − 2 𝑥 + 6 = 4 𝑥 + 2 ! − 64

b. −3 𝑥 + 2 𝑥 − 6 = −3 𝑥 − 2 ! + 48 c. 𝑥 + 5 𝑥 + 7 = 𝑥 + 6 ! − 1