Question

The coordinates of a preimage and its image are E(7, -2) and E'(2,0). Writethe translation function that maps E onto E'.

Answer 1

We have E(7,-2) and E'(2,0).

We can think of E' as the image of E after a translation (a,b), where we have to find the values of a and b.

We can write:

`E(7,-2)\longrightarrow E^(\prime)(7+a,-2+b)=E^(\prime)(2,0)`

Then, we can find a and b as:

`\begin{gathered} 7+a=2\longrightarrow a=2-7=-5 \\ -2+b=0\longrightarrow b=0+2=2 \end{gathered}`

The translation is then (-5,2).

Then, we can write the rule as:

`(x,y)\longrightarrow(x-5,y+2)`

Answer: (x,y) --> (x-5,y+2)