Y2 Chapter 8 - Parametric Equations

ParameliaEquations




/W2

,·"
0

28 6




3t
3x
x
-
=




y
=




4t
y
=




STARTER

, Cartesian
Equation
1
x
2y
+
=




-
x
=>


dy
3y 2
=



x




Paintive
Equations

x Ei20
=


x and
-> 3
sinO expressed
lins
of another
-




in
y
=




independent parameter


paramationequations
converting to Cartesian




-
x 2t
=




->
3 x2
=




Devalues)
Domain: 2 27
=


·3<t <3

-

6<x< 6


Range:by values) y x"
=
-

3x [ <3


0xy,9

, Practise



=
y (3)* =
=




x It
=




3 x
=




y
Yr=Yx
=




3
x (
=




2

y 2+
=




y z(x)"
=


&


y
=



2(x-)
2x
y =