Question

Explain how you would graph the following set of parametric equations by plotting points and describing the orientation.

Answer 1

Explanation:

To graph the set of parametric equations, we need to give values to t and calculate the corresponding values of x and y. So, we need to complete the following table

t x = 3t y = t²

-3 3(-3) = -9 (-3)² = 9

-2 3(-2) = -6 (-2)² = 4

-1 3(-1) = -3 (-1)² = 1

0 3(0) = 0 0² = 0

1 3(1) = 3 1² = 1

2 3(2) = 6 2² = 4

3 3(3) = 9 3² = 9

Therefore, we will graph the equations using the points (-9, 9), (-6, 4), (-3, 1), (0, 0), (3, 1), (6, 4) and (9, 9).

Answer:

Then, the graph is