Can someone walk me through this? any is appreciated, you!
the graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph g (in red).
the function f is defined by f(x)=|x|.
write down the expression for g (x).

Step-by-step explanation:

recall for any function f(x)

Vertical translations by "a" units are given simply by

f(x) + a,

where positive values of a translates the graph in the positive y direction (i.e up) and negative values of a translates the graph in the negative y direction (i.e down)

Horizontal translations by "b" units are given by

f(x-b),

where negative values of a translates the graph in the negative x direction (i.e left) and postive values of a translates the graph in the postive x direction (i.e right)

if we combine the two above, we get the expression

g(x) = f(x-b) + a

In our case, we see that to get from the blue graph to the red graph, we need to translate 3 units in the positive x-direction (i.e b = 3) and 4 units in the negative y-direction (i.e a = -4)

Substituting b = 3, a = -4 and that f(x) = |x|,

we get

g(x) = |x-(3)| - 4

g(x) = |(x-3)| - 4

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

21

step-by-step explanation: