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In x=f(t)x=f(t)x=f(t) and y=g(t)y=g(t)y=g(t), what does each permitted value of ttt produce?
A
For a graph y=f(x)y=f(x)y=f(x), a simple parametrisation is x=tx=tx=t and y=f(t)\boxed{y=f(t)}y=f(t), because replacing xxx by ttt preserves the original relationship.
B
One point (x,y)(x,y)(x,y) on the curve.
C
x=2+3t,y=−1+4tx=2+3t,\quad y=-1+4tx=2+3t,y=−1+4t
D
ttt and −t-t−t produce the same point.
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1.5.14 Convert between cartesian and parametric forms (A-level only) Flashcards
26 flashcards on OCR (MEI) A Level Maths 1.5.14 Convert between cartesian and parametric forms (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.