Let be the reflection of in the x-axis. What is the function rule for ? Please explain. I really need to understand. Thanks!

  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

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!