Copy of Absolute Value Function Transformations
Absolute Value Function Transformations
Absolute Value Function Transformation Exercise
The absolute value function is y = |x| , denoted by function g.
The transformed basic function is y = a|x - h| +k.
Note: The 'slider' feature on the x-y coordinate plane can be used to change the a, h, and k values
for the following exercises. To do so, place the cursor and hold it on the dot of the slider and
slide it to the desired m and b values.
To move the slider to a different location on the x-y plane, place the cursor and hold it on the line
of the slider and move it to the desired location.
Note: You can zoom in or out with the mouse.
Use the slider to change the value of h. What do you notice?
Use the slider to change the value of k. What do you notice?
Use the slider to change the value of a. What do you notice?
Use the sliders to graph the function f(x) = |x + 3| - 5. How does this compare to the graph g(x)=x?
Use the sliders to graph the function f(x) = |x - 4| + 2. How does this compare to the graph g(x)=x?
Use the sliders to graph the function f(x) = 2|x - 3| + 4. How does this compare to the graph g(x)=x?
Use the sliders to graph the function f(x) = -0.2|x - 6| + 3. How does this compare to the graph g(x)=x?