Question

translate each Graph as specified below(a)the graph of y=(x)+4 is shown. Translate it to get the graph of y=f(x)+4(b) The graph of y=g(x) is shown. Translate it to get the graph of y=g(x-2).

Answer 1

Given the graphs (a) and (b)

a) The function of graph (a) is

`f(x)=-4√(x+3)+1`

The graph of the function is shown below

Translating it to get the graph of

`y=f(x)+4`

The translated function becomes

`\begin{gathered} y=f(x)+4 \\ y=(-4√(x+3)+1)+4 \\ y=-4√(x+3)+1+4 \\ y=-4√(x+3)+5 \end{gathered}`

The translated graph is

b) The function of graph (a) is

`g(x)=-|x|`

The graph of the function is shown below

Translating it to get the graph of

`y=g(x-2)`

The translated function becomes

`\begin{gathered} y=g(x-2) \\ y=-|x-2| \end{gathered}`

The translated graph is