Question

△jmh is rotated - 270 degrees (clockwise) about the origin. apply rotation mapping rules to find the image of h (1 point) h()

Explanation:

Step1: Recall rotation rule

A - 270 - degree (clock - wise) rotation about the origin is equivalent to a 90 - degree counter - clockwise rotation. The rule for a 90 - degree counter - clockwise rotation of a point $(x,y)$ about the origin is $(x,y)\to(-y,x)$.

Step2: Identify coordinates of point H

From the graph, the coordinates of point H are $(-2,-8)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(-y,x)$ with $x=-2$ and $y = - 8$, we substitute $y=-8$ and $x=-2$ into the rule. So, $-y=-(-8)=8$ and $x=-2$. The new coordinates of $H'$ are $(8,-2)$.

Answer:

$(8,-2)$