In any function, f(x) = a(x-h)n + k , a negative leading coefficient means the graph is reflected.

true or false?

True

For any function of the form:

The coefficient produces a transformation called a reflection in the x-axis whenever , that is, this axis is said to be a mirror. Let's take an example, suppose you have a function:

If the leading coefficient is now -4, then the graph is reflected and the new function is:

This is shown in the figure below. The red parabola represents and the blue parabola is . As you can see, the red parabola has been reflected and transformed into the blue one.