Step-by-step explanation:
A transformation(s) of a parent function is

where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is

First, we stretched this by 7
so we have

We need to shift this 12 units to the left so we have

We need to reflect this across x axis so we get

We need to shift this downwards 15 so we get

or because tan is a odd function you could say


Let's take the non-linear equation:

First Make The Equation To Be In Terms of Y
*Divide Both sides by


*Simplify

You shouldn't keep a radical in the denominator, however we leave it for the purpose of the reciprocal.
*Take The Reciprocal Of Both Sides

A Linear Equation Takes The Format:

So,




Resulting in :
Answer:
-3
Step-by-step explanation:
The average rate of change from point (x1, y1) to point (x2, y2) is given by ...
m = (y2 -y1)/(x2 -x1)
For the given points, this is ...
m = (2 -14)/(6 -2) = -12/4 = -3
The average rate of change on the interval is -3.