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 reflection in the x-axis.
Changing the sign of a function's output reflects the original function in the x-axis.
Original Function & Reflected Function
y=f(x) & y= -f(x)
Because we have h= -f(x), we can state that h is a reflection in the x-axis of f. To graph h, let's make a table of values taking the values from the above table. Then, we will change the sign of f outputs to get h(x).
