You can get the graph of function g by taking the graph of function f and shifting it 7 units to the left, and by shifting it 7 units up.
We have the following functions:
[tex]f(x)=1x-2+4 \\ \\ g(x)=1x+3+6[/tex]
But we can rewrite this functions as:
[tex]f(x)=1x-2+4 \rightarrow f(x)=x+2 \\ \\ g(x)=1x+3+6 \rightarrow g(x)=x+9[/tex]
Or:
[tex]g(x)=(x+2)+7[/tex]
Recall that for vertical shifts:
[tex]h(x)=f(x)+k \\ \\ \bullet \ if \ k>0 \ f(x) \ is \ shifted \ k \ units \ up \\ \\ \bullet \ if \ k<0 \ f(x) \ is \ shifted \ k \ units \ down[/tex]
From this, we know that:
Recall that for horizontal shifts:
[tex]h(x)=f(x+k) \\ \\ \bullet \ if \ k>0 \ f(x) \ is \ shifted \ k \ units \ to \ the \ left \\ \\ \bullet \ if \ k<0 \ f(x) \ is \ shifted \ k \ units \ to \ the \ right[/tex]
From this, we know that:
Shifting graphs: https://brainly.com/question/10010217
#LearnWithBrainly
