Question

draw a circle with center (-2, -1 ) and radius of 2.

Explanation:

Step1: Locate the center

The center of the circle is at the point \((-2,-1)\). On the coordinate grid, move 2 units to the left of the origin (since \(x = - 2\)) and 1 unit down (since \(y=-1\)). Mark this point.

Step2: Determine points on the circle

The radius \(r = 2\). From the center \((-2,-1)\), we can find points on the circle.

• Moving 2 units to the right: the point is \((-2 + 2,-1)=(0,-1)\)
• Moving 2 units to the left: the point is \((-2-2,-1)=(-4,-1)\)
• Moving 2 units up: the point is \((-2,-1 + 2)=(-2,1)\)
• Moving 2 units down: the point is \((-2,-1-2)=(-2,-3)\)

Step3: Sketch the circle

Using the center \((-2,-1)\) and the four points \((0,-1)\), \((-4,-1)\), \((-2,1)\), \((-2,-3)\) as guides, draw a smooth - curved circle passing through these points.

Answer:

A circle with center at \((-2,-1)\) and radius \(2\) is drawn on the coordinate grid.