Question

reflecting a point (m, n) over the y - axis will change it to. to dilate a point (p, q) by a factor of 2 from the origin, the new coordinates will be. a translation moves a shape changing its size or orientation.

Explanation:

Step1: Recall y - axis reflection rule

When reflecting a point $(m,n)$ over the y - axis, the x - coordinate changes sign. So the new point is $(-m,n)$.

Step2: Recall dilation rule

To dilate a point $(p,q)$ by a factor of $k$ from the origin, the new coordinates are $(kp,kq)$. Here $k = 2$, so the new coordinates are $(2p,2q)$.

Step3: Recall translation definition

A translation moves a shape without changing its size or orientation.

Answer:

1. $(-m,n)$
2. $(2p,2q)$
3. without