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Standared Form Practice 

Match the following by writing the letter beside the expression.

 

__ 3x2+12+9          A. Common Factoring

__ x2+5x+15          B. Complex Trinomial

__ 10x2+30            C. Simple Trinomial

__ 20x2-60             D. Difference of squares

__ 5x2-6x+6           E. Perfect square

 

Find the axsis of symmetry using the (B/2)2 formula when the equation is given.

 

y=x2+6+5

AOS=____

 

y=3x2+10+4

AOS=____

 

y=x2-20+12

AOS=____

 

y=4x2-4+10

AOS=____

 

Find the zeros using the quadratic formula.

x=-b+-√ b2-4ac  

           2a

 

 

1.y=2x2+10x+5

a-

b-

c-

zeros:(_,_)(_,_)

 

2.y=-15x2-4x-10

a-

b-

c-

zeros:(_,_)(_,_)

 

Change the standared form to vertex form.

 

1.y=x2+10x+20

vertex form-____________

 

2.y=x2+4x+2

vertex form-____________

 

3.y=3x2+6x+9

vertex form-____________

Standared Form Practice Answers

Match the following by writing the letter beside the expression.

 

_E_ 3x2+12+9          A. Common Factoring

_C_ x2+5x+15          B. Complex Trinomial

_A_ 10x2+30            C. Simple Trinomial

_D_ 20x2-60             D. Difference of squares

_B_ 5x2-6x+6           E. Perfect square

 

Find the axsis of symmetry using the (B/2)2 formula when the equation is given.

 

y=x2+6+5

AOS=9

 

y=3x2+10+4

AOS=25

 

y=x2-20+12

AOS=100

 

y=4x2-4+10

AOS=4

 

Find the zeros using the quadratic formula.

x=-b+-√ b2-4ac  

           2a

 

 

1.y=2x2+10x+5

a-2

b-10

c-5

zeros:(-0.575,0)(-4.425,0)

 

2.y=15x2+4x+10

a-5

b-4

c-3

zeros:(-1.6,0)(-1,0)

 

Change the standared form to vertex form.

 

1.y=x2+10x+20

vertex form- y=(x+5)2-5

 

2.y=x2+4x+2

vertex form- y=(x+2)2-2

 

3.y=x2+6x+9

vertex form-y=(x+3)2

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