Question

Which set o parametric equations represents the function y=3x^2-29x+64?

Answer 1

A parametric equation defines a set of quantities as functions of one or more independent variables called parameters. So it is common to call this parameter with the letter t.

Given the equation:

$y=3x^{2}-29x+64$

Let's name t the parameter, then t = x, therefore:

$y=3t^{2}-29t+64$

Finally the set can be written as follows:

$\left \{ {{x=t} \atop {y=3t^{2}-29t+64}} \right. t \in R$