Given:
A dilation maps (2,3) to (4,6).
Required:
To find the scale factor and the new coordinate.
Explanation:
(a)
Scale factor = dimension of the new coordinate / dimension of the original coordinate.
So
[tex]\begin{gathered} =\frac{4}{2} \\ =2\text{ and} \\ =\frac{6}{3} \\ =2 \end{gathered}[/tex]Therefore scale factor is 2.
(b)
If (-6,3) is under the same dilation.
The new coordinate is
[tex]\begin{gathered} =2(-6,3) \\ =(-12,6) \end{gathered}[/tex]Final Answer:
(a) 2
(b) (-12,6)
