F(x) = 3x + 8
f'(x) = 3
f'(4) = 3.
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
<span>To provide consistent ways to identify and classify organisms as they are being studied.</span>
Answer:
PQ = 
Step-by-step explanation:
given MQR = 60, PQR = 75
MQP = 75 -60= 15
WE KNOW THAT MQR +QRM +QMR = 180
MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL
THEREFORE QMR = 90 - 60 = 30
therefore PQM = 75 - 60 = 15
PM = PQ because M is the mid point
therefore PR = PM + 
PR = 

PQ = 
Answer:
13 cm
Step-by-step explanation:
The diagonal of a rectangle forms a right triangle; where the diagonal is a hypotenuse, and two sides of the rectangle are legs.
Using pythagorean's theorem (
), we can say:

The hypotenuse is equal to 13cm.