Vertex Form
Write in vertex form:
y = x2 + 16x + 71
y = (x + 8)2 + 7
Solve the system of equations:
y = −3x + 4
y = 3x − 2
(1,1)
Factor:
7x2 − 31x − 20
(7x + 4)(x − 5)
Write the recursive function:
3,8,13,18,23...
f(1)=3
f(n)=f(n-1)+5
SOLVE:
2m2 − 7m − 13 = −10
{ 7 + 73 4 , 7 − 73 4 }
Write in vertex form:
y = x2 + 4x
y = (x + 2)2− 4
Solve the system of equations:
4x + 2y = 10
x − y = 13
(6,-7)
Factor:
2b2 + 17b + 21
(2b + 3)(b + 7)
Write an explicit function:
11,9,7,5,3...
f(n)=-2(n-1)+11
OR
f(n)=-2n+13
Solve:
k2 − 31 − 2k = −6 − 3k2 − 2k
{ 5/2 , − 5/2}
Write in Vertex Form:
6x2 + 12x + y + 13 = 0
y = −6(x + 1)2 − 7
Solve the system of equations:
7x + 2y = −19
−x + 2y = 21
(-5,8)
Factor:
5p2 − p − 18
(5p + 9)( p − 2)
Write the explicit function:
2,4,8,16...
f(n)=2n
OR
f(n)=2(2n-1)
Write in standard form:
y = (x − 2)2 − 2
y = x2 − 4x + 2
What is the vertex?
y = x2 + 10x + 33
{-5,8}
System of Equations:
−16 + 20x − 8y = 0
36 = −18y − 22x
(0,-2)
Factor:
7x2 − 32x − 60
(7x + 10)(x − 6)
Write a recursive function:
Scott decides to add running to his exercise routine and runs a total of one mile his first week. He plans to double the number of miles he runs each week.
f(1)=1
f(n)=f(n-1)(2)
Solve for x:
−5(1 − 5x) + 5(−8x − 2) = −4x − 8x
x= -5
What is the vertex?
y = 2x2 + 36x + 170
{-9,8}
Solve this system of equations:
−4y − 11x = 36
20 = −10x − 10y
(-4,2)
Name four values of b which make the expression factorable:
x2 − 3x + b
Answers Vary:
Ex: 0, 2, −4, −10, −18
Write the explicit functions:
Cami invested $6000 into an account that earns 10% interest each year.
f(n)=6000(1.1)n
Solve for a:
24a − 22 = −4(1 − 6a)
No solution