Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the 
-coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a <em>polynomial</em> of degree 2, which is a fancy way of saying that something is a quadratic), the -coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve 
, which gives 
(the 'V' stands for 'or'). We can take the average of the two roots to get the -coordinate of the minimum point of the graph (which, in this case, is 
).
Having the -coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the 
-coordinate of the extremum.
The equation that can be used to find the number of points is 9 + (14 × x) = 331 and the value is 23.
<h3>How to illustrate the information?</h3>
From the information, Sonia has completed 14 levels of a video game and has 9 points so far in her current level and she has a total of 331 points.
Let the number of points earned be illustrated as x.
The equation that can be used to find the number of points she earned for completing each level will be:
9 + (14 × x) = 331
9 + 14x = 331
14x = 331 - 9
14x = 322
Divide
x = 322 / 14
x = 23
The number of points is 23.
Learn more about equations on:
brainly.com/question/13763238
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Answer:
The equation of the line that passes is y=-3x+13
