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?
a) the graph of y = f(x) will shift up 9 units.
b) the graph of y = f(x) will shift down 9 units.
c) the graph of y = f(x) will shift left 9 units.
d) the graph of y = f(x) will shift right 9 units.

we know that

The rule of the translation in this problem is equal to

That means

The translation is units down

therefore

the answer is the option B

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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1