What is a parametric equation?
A parametric equation is one that is defined in terms of a single parameter, usually called t.
This means that, instead of the standard geometric equation, where y and x are defined by each other, e.g. y=3x, they are defined by this other parameter, e.g. y=t, x=t/3, where t is the input.
Both of the examples given are the same, merely in a different format, it's important to understand how to rearrange a parametric equation into a geometric equation.
All you have to do is rearrange to find t on it's own, and then equate the two:
y=t,
x=t/3, 3x=t=y, y=3x.
JB
Related Maths A Level answers
All answers ▸Let y(x) be a function with derivative y'(x)=x^2-2 and y(0) =7. What is the value of y at x = 3?
Differentiate y=x^2cos(x)
Find the partial fraction decomposition of the expression: (4x^2 + x -64)/((x+2)(x-3)(x-4)).
A function is defined as f(x) = x / sqrt(2x-2). Use the quotient rule to show that f'(x) = (x-2)/(2x-2)^(3/2)