For this case we have the following original function:

We apply the following transformation:
Vertical displacements:
Assume k> 0
To graph f (x) - k, move the graph k units down.
Applying the transformation for k = 5 we have:

Therefore, the graph moves 5 units down.
Answer:
Third graph
Answer:
Step-by-step explanation:
Several trig identities are involved in the proof of this. This is the order in which they are used.
- cos(2x) = cos²(x) -sin²(x)
- cos²(x) +sin²(x) = 1
- cos(x) = 1/sec(x)
<h3>Proof</h3>
Starting with the left side, we can transform it into the right side.

X=11. Bisects means the angles on both sides of the line are equal, so 4x-16=2x+16 then solve for x
Answer:
Step-by-step explanation:
22
Multiply 9 books by 55% by doing
9 x .55 = 4.95
We can't have 4.95 books, though so it rounds down to 4 because you can't just add another .05.