IB Mathematics Analysis and Approaches Quiz
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FUNCTIONS
Question 1
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A parametric curve is defined by
x
=
2
sin
2
θ
x = 2\sin^2\theta
x
=
2
sin
2
θ
and
y
=
2
cos
θ
y = 2\cos\theta
y
=
2
cos
θ
for
0
≤
θ
≤
π
0 \le \theta \le \pi
0
≤
θ
≤
π
. Find its Cartesian equation and domain.
A
y
2
=
2
(
2
−
x
)
y^2 = 2(2-x)
y
2
=
2
(
2
−
x
)
for
0
≤
x
≤
2
0 \le x \le 2
0
≤
x
≤
2
B
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
for
−
2
≤
x
≤
2
-2 \le x \le 2
−
2
≤
x
≤
2
C
y
=
2
1
−
x
/
2
y = 2\sqrt{1-x/2}
y
=
2
1
−
x
/2
for
0
≤
x
≤
2
0 \le x \le 2
0
≤
x
≤
2
D
x
=
2
−
y
x = 2-y
x
=
2
−
y
for
−
2
≤
y
≤
2
-2 \le y \le 2
−
2
≤
y
≤
2
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