Question

what is the image of the point (-8,0) after a rotation of 270° counterclockwise about the origin? answer attempt 1 out of 3 (□,□) submit answer

Explanation:

Step1: Recall rotation rule

For a \(270^\circ\) counterclockwise rotation about the origin, the rule is \((x,y)\to(y, -x)\).

Step2: Apply the rule to \((-8,0)\)

Here, \(x = - 8\) and \(y = 0\). Substituting into the rule, we get \((0,-(-8))=(0,8)\).

Answer:

\((0, 8)\)