That seems so hard, sending prayers and brain cells to you.
        
             
        
        
        
It is 6 units because you find the absolute value of the two different coordinates, in this case it is 4 and -2. Since they belong in different quadrants (one x or y value is positive and the other is negative) you add them. If they are both in the same quadrant, you subtract them. 
        
             
        
        
        
<span>Given:
f(0) = 2</span>
So first of all, we let x = 2012, y = 0: 
<span>
Then, F(2012) = 2012 + f(0)
Since f(0) = 2, then f(2012) = 2012 + 2 = 2014.
To add, </span>the process that relates an input to an output is called a
function.
 
 
<span>There are always three main parts of a
function, namely:
</span>Input
The Relationship
The Output
 
The classic way of writing a function is
"f(x) = ... ". 
 
What goes into the function
is put inside parentheses () after the name of the function: So, f(x) shows us the
function is called "f", and "x" goes in.
 
 
What a function does with the input can be usually seen as:
 
<span>f(x) = x2</span><span> reveals to us that function "f" takes "x<span>" and squares
it.</span></span>
 
        
             
        
        
        
We have that
x²<span>-20x
</span><span>Group
terms that contain the same variable
</span>(x²-20x)
Complete
the square 
(x²-20x+10²)------> (x-10)²
the answer is
the number must be 100
        
             
        
        
        
 we conclude that the graphed equation is:
y = 4*cos(pi*x)
<h3>
</h3><h3>
Which trigonometric equation is the one in the graph?</h3>
First, we can see that the graphed function is even, so we know that it wiill be a cosine.
We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.
Then we have something like:
y = 4*cos(b*x)
To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2
Then:
b*1/2 = pi/2
b = pi
Finally, we conclude that the graphed equation is:
y = 4*cos(pi*x)
If you want to learn more about trigonometric equations:
brainly.com/question/8120556
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