Question

a dilation centered at the origin with a scale factor of 2 followed by a rotation of 270° counterclockwise about the origin. answer attempt 7 out of 100

Explanation:

Step1: Recall dilation rule

For a dilation centered at the origin with scale - factor $k$, the coordinates $(x,y)$ of a point transform to $(kx,ky)$. Here $k = 2$.

Step2: Recall rotation rule

For a $270^{\circ}$ counter - clockwise rotation about the origin, the coordinates $(x,y)$ of a point transform to $(y,-x)$.

Answer:

The sequence of a dilation centered at the origin with a scale factor of 2 followed by a $270^{\circ}$ counter - clockwise rotation about the origin is a valid transformation to get from the pink figure to the blue figure.