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

Please explain. I really need to understand. Thanks!

Respuesta :

Answer:

  h(x) = -3x-3

Step-by-step 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

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