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.  

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula