Question

Let
`h(x)` be the reflection of
`f(x)=3x+3` in the x-axis. What is the function rule for
`h(x)`?

Please explain. I really need to understand. Thanks!

Answer 1

h(x) = -3x-3

Explanation:

Reflection in the x-axis means every y-coordinate on the graph is replaced by its opposite. For example, instead of going up 3 units to plot the point, you go down 3 units to plot the reflected point.

The y-value is negated by multiplying the function value by -1.

h(x) = (-1)·f(x) = (-1)(3x +3)

h(x) = -3x -3