Now, we can plot these points and connect them with a straight line to have the graph of f(x).
Graph of h(x)
Let's recall the definition of a vertical translation. When adding a number k to a function's output, the function translates the graph vertically.
y=f(x)+ k
A value of k less than 0 represents a shift down of the original function. Conversely, when k is "greater than" 0, the function is shifted up. Because h is written in the form y=f(x)+ k, we can state that h is a vertical translation of f.
h(x)=f(x)+ 1
In this case, k is 1. Since 1>0, h(x) is a vertical translation 1 unit up from the graph of f.
