Question

graph the image of v(0, −2) after a rotation 180° clockwise around the origin.

Explanation:

Step1: Recall 180° rotation rule

For a point \((x, y)\), a 180° clockwise (or counterclockwise) rotation around the origin transforms it to \((-x, -y)\).

Step2: Apply the rule to \(V(0, -2)\)

Here, \(x = 0\) and \(y = -2\). Substituting into the rule, we get \((-0, -(-2))=(0, 2)\).

Answer:

The image of \(V(0, -2)\) after a 180° clockwise rotation around the origin is the point \((0, 2)\). To graph it, plot the point at \((0, 2)\) on the coordinate plane (on the y - axis, 2 units above the origin).