Quadratics
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