Visualizing Absolute Value Functions with Questions
Visualizing Absolute Value Functions
Move the sliders above so that the vertex lies on the origin.
Changing the a value.
What happens to your graph when you change the a value (anything except for 0)? Describe all the changes you see.
Changing the h value of the function.
How does the graph change when you change the h value of the function? Describe all the changes that you see.
Changing the k value of the function.
How does the graph change when you change the k value of the function? Describe all the changes that you see.
Absolute value equation.
Which of the following would best show a general function rule that would apply to all absolute value functions (using the values a, h, and k)? HINT: look at what changes in the equation above when you change each value.
Finding x values.
Reset the graph to have an a value of one and an h and k value of 0. This is the parent function y =l xl. Use the horizontal line (the green line) to find the following values:
Finding x values.
Reset the graph to have an a value of one and an h and k value of 0. This is the parent function y =l xl. Use the horizontal line (the green line) to find the following values:
a) find x if f(x) = 4
b) find x if f(x) = -2
c) find x if f(x) = 0
d) find x if f(x) = 1.5
What does an absolute value graph look like.
What do you think an absolute value graph must look like with any a, h, and k value (except a = 0)?