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

Hello I Need Some Assistance With This Homework Question PleaseQ13 class=

Sagot :

we have the new function

[tex]f(x)=\frac{2}{3}\mleft|x\mright|+3[/tex]

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)

[tex]\begin{gathered} f(2)=\frac{2}{3}|2|+3 \\ f(2)=\frac{2}{3}\cdot(2)+3 \\ f(2)=\frac{4}{3}+3=\frac{13}{3} \end{gathered}[/tex]

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

see the attached figure

View image KynzleighB50127