Question

Translate each graph as specified below.(a) The graph of y = f(x) is shown. Translate it to get the graph of y = f(x+5).(b) The graph of y = g (x) is shown. Translate it to get the graph of y = g (x) + 2.

Answer 1

Given:

The graph is:

`\begin{gathered} y=f(x) \\ \\ y=g(x) \end{gathered}`

Find-:

(a) Translate to get the graph.

`y=f(x+5)`

(b)

Translate to get a graph

`y=g(x)+2`

Explanation-:

The function is:

`\begin{gathered} y=f(x) \\ \\ y=f(x+5) \end{gathered}`

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)

`y=g(x)`

The function is translated is:

`y=g(x)+2`

The graph shifts 2 units up side iny-axis.

So, The graph