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Shifting, Reflecting, Etc.

Graph y = ( x - 1 )^3 ... The Disco Graph! ... shift right to x =1 ... ( 1 - 1 )^3 = ( 0 )^3 The Disco Graph shifted to the right 1

 

YOUR TURN:

Graph y = -2x^3

 

 
Graph y = -square root( x ) ... Square Root Guy! ... the negative means that it will be upside-down Graph of an upside-down Sqaure Root Guy

 

Graph

y = square root( x + 4 ) - 2 ... shift to the left 4 to x = -4 ... shift down 2 ... square root( -4 + 4 ) = square root( 0 )

Graph of the Square Root Guy shifted to the left 4 and down 3