Question

question
what is the image of the point $(-8,0)$ after a rotation of $270^{circ}$ counterclockwise about the origin?
answer
attempt 1 out of 2
$\left(0,-8\
ight)$ submit answer

Explanation:

Step1: Recall rotation rule

The rule for a \(270^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(y, - x)\).

Step2: Apply the rule

For the point \((-8,0)\), here \(x=-8\) and \(y = 0\). Substitute into the formula: \((-8,0)\to(0,8)\).

Answer:

\((0,8)\)