Answer:
3x^5 -2x^4 -x^2 +x -21
Step-by-step explanation:
We need to subtract g(x) from f(x)
f(x) = 3x^5 +6x^2 -5
g(x) = 2x^4 +7x^2 -x+16
f(x) -g(x) = 3x^5 +6x^2 -5 - (2x^4 +7x^2 -x+16)
Distribute the minus sign
3x^5 +6x^2 -5 - 2x^4 -7x^2 +x-16
I like to line them up vertically
3x^5 +6x^2 -5
- 2x^4 -7x^2 +x-16
---------------------------------------
3x^5 -2x^4 -x^2 +x -21
True. Using the equation y2-y1 / x2-x1
The new equation should look like this 5/1-3/1 and the equals to = 4/2 and that simplify is 2. So the answer 2 we just got is the slope. So we just add the letter x since that represents slope. Making the equation y=2x+1 true.
Answer:
The value 3 represents the vertical translation upwards of
to 
Step-by-step explanation:
The question is incomplete or missing data.
The correct question
What value represents the vertical translation from the graph of the parent function
to the graph of the function
?
Given functions:
Parent function

Translated function

Translation rules
For horizontal shift
If
the function shifts
units to the left.
If
the function shifts
units to the right.
For vertical shift
If
the function shifts
units to the up.
If
the function shifts
units to the down.
From the functions given the translation rule can be given as:


This shows the graph is shifted left by 5 units and upwards by 3 units.
Thus the value 3 represents the vertical translation of
to 

The answer is
4a-6b, which can also be written 2(2a-3b).
Hope this helps!