Question

How do you graph a parametric function??

e.g.
f(x,y) ={

x= 8cos(z)
y= 4sin(z)​

Answer 1

Step-by-step explanation: To graph a parametric function, such as f(x, y) = { x = 8cos(z), y = 4sin(z) }, you can follow these steps:

Choose a range of values for the parameter, z. For example, you might choose z from 0 to 2π, which would give you a complete circle.

Calculate the corresponding values of x and y for each value of z using the parametric equations. In this case, you would use x = 8cos(z) and y = 4sin(z).

Plot the points (x, y) for each value of z. You can do this by hand or using software such as Mathematica or Wolfram Alpha.

Connect the points with a smooth curve to get the graph of the parametric function.

For the specific function f(x, y) = { x = 8cos(z), y = 4sin(z) }, the graph is a circle with radius 4 centered at the origin.