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

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}ct&x&y&(x,y)\\-2&8&(38)/(5)=7.6&(8,7.6)\\\\-1&5&(39)/(5)=7.8&(5,7.8)\\\\0&4&(40)/(5)=8.0&(4,8.0)\\\\1&5&(41)/(5)=8.2&(5,8.2)\\\\2&8&(42)/(5)=8.4&(8,8.4)\end{array}`