Domain and Range
Is this a function, and what is the domain and range?
{(1, -4), (2, -3), (3, -4), (4, 3), (5, -4)}
yes
D= 1, 2, 3, 4, 5
R= -3, -4
y=3(x+3)(x+3)
Vertex
Axis of Sym
Max/Min
D
R
Roots
(0, -3)
x=-3
min
y=0
#
y>_0
-3
y=2(x-1)2
str x 2
-> 1
-> 4
up 2
y=(x-4)2+2
Is this a function, and what is the domain and range?
{(0, 2), (1, -3), (0, -2), (2, 2)}
No
D=0, 1, 2
R=-3, -2, 2
y=-2(x+6)2 + 2
Vertex
Axis of Sym
Max/Min
D
R
Roots
(-6, 2)
x=6
max
y=2
#
y<=2
-5, -7
y=-x2 -4
flip
down 2
reflect across x
<-2
y=-(x+2)2
#3 on your review sheet
yes
D=-3, 1, 2, 5, 6
R=-2, 0, 2
y=-x2 +4x +5
Vertex
Axis of Sym
Max/Min
D
R
Roots
(2, 9)
x=2
max y=9
#
y<=2
-1, 5
y=-2(x+3)2 -5
flip
str x 2
<-3
down 5
Shrink by a factor of 1/2
<-6, up 3
y=1/2(x+6)2+3
#5 on your review sheet
D=-9< x <_ 8
Use the following information to write the equation of the quadratic function.
roots: -4, 1. f(5)=16
y= 4/9(x+4)(x-1)
y=2/3(x-7)2 +2
Shr x 2/3
->7
up 2
Shift y=2(x-3)2+4 right 4 places, and down 6 places
y=2(x-7)2-2
#6 on your review sheet
no
D= x>_-6
R= All Real #'s
Use the following information to write the equation of the quadratic function.
Vertex: (-3, 1) f(4)=-13
y=-2/3 (x+3)2 +1
y=(x+1)(x-3)
->2
down 4
shift y=2x2-6 right 3, up 7, and reflect across the x axis
y=-2(x-3)2+1