Question

Which parametric equations represent (x + 1)2 + (y – 3)2 = 16

Answer 1

Answer:

see image below

Step-by-step explanation:

Answer 2

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In which:

The centre is is $(x_0,y_0)$ and r is the radius. The parametric equations are given by:

$x(t) = r\cos{(t)} + x_0$

$y(t) = r\sin{(t)} + y_0$

In this question:

$(x + 1)^2 + (y - 3)^2 = 4^2$

This means that the centre is $(-1,3)$ and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3