Answer:
[tex]\boxed{\textsf{ The graph is attached in the \textbf{ attachment}.}}[/tex]
Step by step explanation:
Here a equation is given to us and we need to plot it's graph n. So the given equation to us is :-
[tex]\sf\implies g(x)= 5|x-6| +2 [/tex]
So here the value of constant is 2 . And it's positive. So the vertex of the graph will be two units above the x axis . Now let ,
[tex]\sf\implies y = g(x) [/tex]
Then this implies that ,
[tex]\sf\implies y = 5|x-6| +2 [/tex]
On putting x = 6 , we get y = 0 +2 = 2 . Hence one coordinate is
On putting x = 7 , we get , y = 5*1 +2 =5+2=7. Hence one coordinate is
On putting x = 8 , we get y = 5*2+2=10+2=12 . Hence one coordinate is
Now these are the coordinates on the right side of the vertex of the graph. Let's find out some coordinates on the left side of the graph. Take values less than 6 now .
On putting x = 5 , we get , y = 5*1+2=5+2=7. Hence one coordinate is
On putting x = 4 , we get y =5*2+2=10+2=12. Hence one more coordinate is
Now taking these coordinates plot a graph. The plotted graph will look something like that as in attachment .
[tex]\rule{200}2[/tex]
