Translations
Zeros
Vertex
Domain/ Range
End Behavior
100
Name the translation: f(x)=x2+1
Vertical translation up 1 unit
100
Find the zeros: f(x)=(x+1)(x-3)
-1, 3
100
What is the vertex? f(x)=x2+1
(0, 1)
100
What is the domain of the graph:
(- infinity, + infinity)
100
What is the end behavior of the right side of the graph:
x>+infinity
f(x)=- infinity
200
Name the translation: f(x)=x2-4
Vertical translation down 4 units
200
Find the zeros: f(x)=(x-5)(x+2)
5, -2
200
What is the vertex? f(x)=x2-5
(0, -5)
200
What is the range of the graph:
[-6, + infinity)
200
What is the end behavior of the left side of the graph:
x>- infinity
f(x) = - infinity
300
Name the translation: f(x)=(x-2)2
Horizontal translation to the right 2 units
300
Find the zeros: f(x)=(2x+3)(x-5)
-3/2, 5
300
What is the vertex? f(x)=(x+6)2-1
(-6, -1)
300
What is the range:
f(x) = (x-3)2+4
[4, + infinity)
300
What is the end behavior of the right end of the graph:
x>+infinity
f(x)=- infinity
400
Name the translation: f(x)=(x-2)2+3
Vertical translation up 3 unit and horizontal translation right 2 units
400
Find the zeros: f(x)=x2+4x+3
-3, -1
400
What is the vertex? f(x)=(x-7)2-10
(7, -10)
400
What is the range:
f(x) = -(x+2)2+5
(- infinity, 5]
400
What is the end behavior of the right end of the equation:
f(x)= x4-5x3+2x2-14x+3
x> + infinity
f(x) = + infinity
500
Name the translation: f(x)=x2+6x+9
horizontal translation left 3 units
500
Find the zeros: f(x)=(x-3)2 - 4
1, 5
500
What is the vertex? f(x)= (x-1)(x-5)
(3, -4)
500
What is the range:
f(x) = -(x+2)(x-3)(x+6)
(- infinity, + infinity)
500
Describe the end behavior of the left end of the equation: f(x) = -(x+3)(x+5)(x-1)(x-3)
x> + infinity
f(x) = - infinity