Question

Hello! I need some assistance with this homework question, pleaseQ13

Answer 1

we have the new function

`f(x)=(2)/(3)\mleft|x\mright|+3`

The vertex of this function is the ordered pair (0,3)

The coordinates of the second point

(2,2) ------------> (2,f(2))

Find the value of f(2)

`\begin{gathered} f(2)=(2)/(3)|2|+3 \\ f(2)=(2)/(3)\cdot(2)+3 \\ f(2)=(4)/(3)+3=(13)/(3) \end{gathered}`

the new coordinates of point (2,2) are (2,13/3)

see the attached figure