Question

Sketch the curve given by the set of parametric equations. x=t^2+4 y=t/5 +8

Answer 1

Answer:  see attached graph

Step-by-step explanation:

Choose values for t and plug them into the x equation and y equation to find the x,y coordinates.

Usually there is an interval provided.  Since you did not specify an interval, I chose to use [-2, 2].

$\begin{array}{c||c|c||c}t&x&y&(x,y)\\-2&8&\frac{38}{5}=7.6&(8,7.6)\\\\-1&5&\frac{39}{5}=7.8&(5,7.8)\\\\0&4&\frac{40}{5}=8.0&(4,8.0)\\\\1&5&\frac{41}{5}=8.2&(5,8.2)\\\\2&8&\frac{42}{5}=8.4&(8,8.4)\end{array}$