"Who Has"  Function Shifting © 2004, 2015 A^{2}
 For instructions go to:
Who Has Intro
 Print this page so the teacher knows what comes next.
 This page is provided for the teacher but is not needed to play the game.
 Print the copies of the masters and cut them up to make cards.
 Print a second copy of the masters to make a transparency
 IF THE GAME IS PLAYED ON AN OVERHEAD PROJECTOR.
 Master 1 Master 2
Master 3 Master 4
Master 5
 Play the game.
 
 
 
 
 
 
 
 
 
 
 I have
 the graph of the squaring function,
 x^{2}.
 Who has this graph raised one unit?

 I have
 the graph of one more than the square of a number,
 x^{2} + 1.
 Who has the vertex of this?

 I have
 (0,1).
 Who has the graph of a square root function with
 this as the leftmost 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
 a number 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?