GO to CONTENT

7: FINDING the RANGE when TRANSFORMING FUNCTIONS by VERTICAL SHIFT: EXAMPLES

Graph
Range of |x| parent function: (0, inf).
Range of |x|-5: (-5, inf).
The function moves down 5 units.
Graph
Range of 2 x parent function: (0, inf).
Range of 2 x -4 function: (-4, inf).
Graph
Range of the 2sinx function is [-2,2].
Range of the transformed 2sinx-4 function is [-6,-2].

CLICK ON THE PLAY BUTTON TO LISTEN TO THE AUDIO!