Question

question
what is the image point of $(-6, 1)$ after the transformation $r_{180^{circ}} \circ d_{4}$?
answer attempt 1 out of 2
$(-24, -4)$ submit answer

Explanation:

Step1: Apply dilation

Dilation \(D_4\) means multiply each coordinate by \(4\).
For the point \((-6,1)\), after dilation \(D_4\), the point becomes \((-6\times4,1\times4)=(-24,4)\)

Step2: Apply rotation

Rotation \(R_{180^{\circ}}\) about the origin has the rule \((x,y)\to(-x,-y)\).
For the point \((-24,4)\), after rotation \(R_{180^{\circ}}\), we have \((-(-24),-4)=(24, - 4)\)

Answer:

\((24,-4)\)