Question

How do you graph `f(x) = x -4`?

Answer 1

The graph of your function is a straight line.

Explanation:

Your function `y=f(x)=x-4` is called Linear.
First you notice that the coefficient of `x` is `1`; this number is the Slope of your line and, being `>0`, tells you that your line is going up (as `x` increases also `y` increases).
To plot the graph we can choose two values of `x` and evaluate the corresponding `y`, so:
if `x=0` then `y=0-4=-4`
if `x=2` then `y=2-4=-2`
we can now plot these two points and draw a line through them:

Answer 2

Find the coordinate of the points that intercept the axes. These are (0, -4) and (4, 0). Then trace a line passing through these points.

Explanation:

This is a linear function, its shape is a line and it only takes two points to trace. The two points chosen should be the intercepts of the axes. Therefore, you should solve:
`x=0->f(0)=0-4=-4`
`y=0 -> 0=x-4-> x=4`
This gives you two dots:
When x=0, y=-4: (0, -4).
When y=0, x=4: (4, 0).
graph{x-4 [-10, 10, -5, 5]}