Question

Describe fully the single transformation that maps triangle $XVW$ onto triangle $X^{\prime }{V}^{\prime }{W}^{\prime }$.

Answer 1

Here the triangle $XVW$ is translation to the triangle $X^{\prime }{V}^{\prime }{W}^{\prime }$.
The ratio of $x$-coordinates is $\frac{8}{4}=2$, so the scale factor of the dilation that maps $(4,-2)$ onto $(8,-4)$ is $2$.
So, translation: $(x,y)$ $\mapsto$ $(x+1,y+6)$