Now, we can plot these points and connect them with a straight line to have the graph of f(x).
Graph of g(x)
Before graphing, let's rewrite g(x) in terms of f(x).
g(x)=5x+1 ⇒ g(x)=5f(x)+1
Note that the first part of the function is 5f(x), which means that the parent function f(x)=x is vertically stretched by a factor of 5.
Now, we can see that the second term of g(x) is + 1, which means a vertical translation 1 unit up from the graph of 5f(x).
Therefore, we found that the graph of g(x)=5x+1 is a vertical stretch by a factor of 5, then a vertical translation 1 unit up from the graph of f.
