Choose the equation of the graph shown below:
2 answers:
Answer:
B. .
Step-by-step explanation:
We have been image of an absolute value function on coordinate plane. We are asked to find the equation of our given function.
We know that standard form of an absolute value function is in format with vertex at
.
Upon looking at our given graph, we can see that vertex of the given function is at point .
Upon substituting coordinates of the vertex in standard form of absolute value function, we will get:
Therefore, our required equation would be and option B is the correct choice.
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Lets say that the two unknown integers are 
and 
.
We know the following things about and :
And, we want to find
.
To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:
So, given what we know about the unknown integers, the previous can be written as:
We can easily solve for:
The answer is 168.
Another approach to solve the problem is, from the two starting equations, compute the values of and , which are 12 and 14, and directly compute their product; however, the approach described is more elegant.
We know the following things about
And, we want to find
To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:
So, given what we know about the unknown integers, the previous can be written as:
We can easily solve for
The answer is 168.
Another approach to solve the problem is, from the two starting equations, compute the values of