Given:
The graph is:
[tex]\begin{gathered} y=f(x) \\ \\ y=g(x) \end{gathered}[/tex]
Find-:
(a) Translate to get the graph.
[tex]y=f(x+5)[/tex]
(b)
Translate to get a graph
[tex]y=g(x)+2[/tex]
Explanation-:
The function is:
[tex]\begin{gathered} y=f(x) \\ \\ y=f(x+5) \end{gathered}[/tex]
The graph is a shift of 5 units left on the x-axis.
That means the graph move 5 units on the negative x side.
(b)
[tex]y=g(x)[/tex]
The function is translated is:
[tex]y=g(x)+2[/tex]
The graph shifts 2 units up side iny-axis.
So, The graph
