Function Transformations (Project)
Drag the sliders and try both quadratic and absolute value functions. Then, use the applet to answer the Notice and Wonder and Problem set below it.
Notice and Wonder
After moving the sliders and clicking between quaradtic and absolute value, what do you notice?
After moving the sliders and clicking between quadratic and absolute value, what do you wonder about?
Question 1:
What do you think each variable (h, k, e, c) represent? What do they do?
Question 2:
What do you think is the difference between quadratic and absolute value?
Question 3:
What do you think is the "parent" function for the quadratic? for the absolute value?
Question 4:
Come up with your own equation for each type of function and explain what the h, k, e and c (from the sliders) are. a. Quadratic h: k: e: c: b. Absolute Value h: k: e: c:
Extension Problem 1
What do you think is the "parent" function for the cubic? for the square root?
Extension Problem 2
Come up with your own equation for each type of function and explain what the h, k, e and c (from the sliders) are. a. Cubic h: k: e: c: b. Square Root h: k: e: c:
Extension Problem 3
What do you think is the difference between quadratic and cubic ? absolute value and square root?
Students complete this Exit ticket on paper
