College Algebra & Trigonometry, 2018a

4.4. TRANSFORMATIONS 205
Reflections
Negating the x or y values of a function will have the effect of reflecting the function
over the y or x axis. If we consider the function f(x) - the same one we used
in the previous examples:
8
6
4
2
−8 −6 −4 −2
−2
2 4 6 8
−4
−6
−8
Then the graph of y = −f(x) will be reflected over the x-axis. The negative sign
in front of the function negates all of the y values, reflecting them over the x-axis.
Lets look at this in a table of values:
x f(x) −f(x)
−6 0 0
−3 6 −6
1 6 −6
3 4 −4
8 4 −4