how does the graph of g(x) = −(x + 3)^4 compare to the parent function of f(x) = x^4
a) g(x) is shifted 3 units to the right and 1 unit up
b) g(x) is shifted 3 units to the right and 1 unit down
c) g(x) is shifted 3 units to the right and reflected over the x-axis.
d) g(x) is shifted 3 units to the left and reflected over the x-axis.

Option D

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

If we have a main function

And we perform the transformation:

Then it is fulfilled that:

If the graph of f(x) moves horizontally h units to the left

If the graph of f(x) moves horizontally h units to the right

If we have a main function

And we perform the transformation:

Then it is fulfilled that:

The graph of g(x) is equal to the graph of f(x) reflected on the x axis

In this case we have to:

and

Therefore and

This mean that: g(x) is shifted 3 units to the left and reflected over the x-axis.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)