This page is designed to accompany Exploring Horizontal Shift in Linear Models (Desmos). You will need a link from your teacher.
Exploring z(x) = m(x - 0) + k
These questions are for slide 1.
1 When m = 0.5 and h = 4.6, what value for k will land the blue line on top of the black line?
Move the sliders to new values for m = and h = .
2 What value for k will land the blue line on top of the black line now?
Continue experimenting with the sliders.
3 Can you find any values for m and h for which you can’t land the blue line on top of the black line by changing k?
What pattern do you notice about the relationship between m, h and k?
4 If you knew the m and h values, how could you find the value of k?
5 If you knew the m and k values, how could you find the value of h?
6 What value of h do you think would be comparable to a vertical shift of 6 for lines with a slope of 2?
Explain.
Advance to slide 2 and confirm that your answer for the last question was correct.
7 What directions would you give to someone about how to predict the h-value of a horizontal shift that will translate to a vertical shift?
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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