Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 9? \
the graph of y = f(x) will shift up 9 units.
the graph of y = f(x) will shift down 9 units.
the graph of y = f(x) will shift left 9 units.
the graph of y = f(x) will shift right 9 units.

The graph of y = f(x) will shift down 9 units.

Step-by-step explanation:

With the graph of y = f(x)-9  the graph of y=f(x) will shift down 9 units. For example:

if f(0) = 0, then y = f(0) -9 = -9.

if f(1) = 9, then y= f(1) - 9 = 9-9 = 0.

The same proccess with all x in the domain of f(x).

step-by-step explanation:

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!