The equation of a circle is shown below.
(x + 2)2 + (y + 1)2 = 4
Niah uses the following steps to sketch a graph of the circle.
1. Obtain the center (-2, -1) and radius 2.
2. Write the equation in the form (x - (-2))2 + (y – (-1)2) = 22.
3. Draw a circle through the plot points (0, -1), (-4, -1), (-2, 1), and (-2, -3).
4. Mark the point (-2, -1) on the coordinate axis.
5. Calculate and plot the points around the center using given radius 2.
What is the correct order of steps to sketch the circle?

Question

The equation of a circle is shown below.
(x + 2)2 + (y + 1)2 = 4
Niah uses the following steps to sketch a graph of the circle.
 1. Obtain the center (-2, -1) and radius 2.
 2. Write the equation in the form (x - (-2))2 + (y – (-1)2) = 22.
 3. Draw a circle through the plot points (0, -1), (-4, -1), (-2, 1), and (-2, -3).
 4. Mark the point (-2, -1) on the coordinate axis.
 5. Calculate and plot the points around the center using given radius 2. 
What is the correct order of steps to sketch the circle?

anonymous · Answer

First you have to rewrite the equation to know what is the coordinate of the centre of the circle and the radius of the circle. 

Then after obtaining the center and the radius. Proceed to draw it. 

Knowing the radius, from the center point, find the coordinates of the north, south, east and west point of the circle.

Then calculate the rest of the points.

Answer would be 2,1,4,3,5