"Who Has" - Function Shifting     © 2004, A2

For instructions go to: Who Has Intro
Print two copies of this page:
Cut up & make cards from one, make an overhead master with the other.
The text only copy is provided but not needed to play the game.
I have
the graph of the squaring function,
x2.
Who has this graph raised one unit?
 
I have
the graph of one more than the square of a number,
x2 + 1.
Who has the vertex of this?
 
I have
(0,1).
Who has the graph of a square root function with
this as the left-most point?
 
I have
one more than the square root of a number,
(x) + 1.
Who has the graph of this moved two places to the right?
 
I have
one more than the square root of two less than a number,
(x - 2) + 1.
Who has the graph of this moved three to the right?
 
I have
one more than the square root of five less than a number,
(x - 5) + 1,
Who has the graph of this moved down one?
 
I have
the square root of five less than a number,
(x - 5),
Who has the graph of the opposite of this?
 
I have
the opposite of the square root of five less than a number
- (x - 5).
Who has the graph of this moved five to the left?
 
I have
the opposite of the square root of a number
- (x).
Who has the graph of the opposite of this?
 
I have
the square root of a number
(x).
Who has the square of this?
 
I have
all numbers greater than or equal to 0:
x, x > 0.
Who has the graph of an absolute value function with this as the right branch?
 
I have
the absolute value of a number, the distance a number is from 0,
|x|.
Who has the graph of this moved 2 spaces to the left?
 
I have the
the distance a number is from - 2
|x + 2|,
Who has the square of this?
 
I have
the square of two more than a number,
(x + 2)2.
Who has this increased by one?
 
I have
one more than the square of two more than a number
(x + 2)2 + 1.
Who has the vertex of this?
 
I have (-2, 1).
Who has this as the intersection of the horizontal & vertical asymptotes of a reciprocal function?
 
I have
one more than the reciprocal of a number increased by 2.
1/(x+2) + 1.
Who has this moved down one and to the right 2?
 
I have
the reciprocal of a number ,
1/x.
Who has the opposite of the reciprocal of a number?
 
I have
the opposite of the reciprocal of a number,
-1/x.
Who has the square of a number?