Answer to Question #175736 in Calculus for Shahir Sheikh

Question

Using a table, sketch the parametric equations, including the orientation arrows. 

x = t² - 2t

y= -t² + 4t

0 ≤ t ≤ 3

Answer 1

Given

x = t² - 2t

y= -t² + 4t

0 ≤ t ≤ 3

And we solve as follows

Step 1 putting ranged values of t in both the functions x and y

Step 2 Make table

we got points (0,0) (-1,3) (0,4) (3,3) in order

Step 3 Make graph

Step 4 Mark arrows