How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4?
g(x) is shifted 2 units to the right and reflected over the x-axis.
g(x) is shifted 2 units to the left and reflected over the x-axis.
g(x) is shifted 2 units to the right and 1 unit up.
g(x) is shifted 2 units to the right and 1 unit down.

first option.

Step-by-step explanation:

Some transformations for a function f(x) are:

If , then the function is shifted "k" units to the right.

If , then the function is reflected over the x-axis.

Based on the above, given the function g(x):

And knowing that the parent function is:

We can conclude that the function g(x) is the function f(x) but shifted 2 units to the right and reflected over the x-axis.  

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'.

560

hope this : )