Explore these graphs, using a friendly window with a factor of 2 and -10 ( t ( 10.
a. Graph x = t and y = |t|.
b. Graph x = t - 1 and y = |t| + 2. How does this graph compare with the graph in 4a?
c. Write a pair of parametric equations that will translate the graph in 4a left 4 units and down 3 units. Verify your answer with a graph.
d. Graph x = 2t and y = |t|. How does this graph compare with the graph in 4a?
e. Graph x = t and y = 3|t|. How does this graph compare with the graph in 4a?
f. Describe how the numbers 2, 3, and 4 in the equations x = t + 2 and y = 3|t| - 4 change the graph in 4a. Verify your answer with a graph.