Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x − 3)?

shift to the right 3 units
shift to the left 3 units
shift up 3 units
shift down 3 units

Shift to the right 3 units

Step-by-step explanation:

Translations are a type of rigid transformation of functions, in which the position of the graph of a function is modified. The general form of the graph of a function moves up, down, left, or right.

Vertical translations:

Let:

 shifts the graph units up

shifts the graph units down

Horizontal translations:

Let:

shifts the graph units to the left.

shifts the graph units to the right.

Using the previous information we can conclude that the function:

Is a Horizontal translation in which the graph was shifted units to the right.

I leave you the graphs, so you can corroborate the answer easily.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

need points to ask question

step-by-step explanation: