HELP help peardeck one question
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Answer:
Step-by-step explanation:
<u>System Of Linear Equations </u>
In this problem, we'll need to solve a 3x3 system of linear equations because we have three unknowns and three conditions.
We are required to find the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10)
The general quadratic function can be written as
We need to find the values of a,b, and c. Let's use the first condition, i.e. f(-1)=1
Now we use the second condition f(1)=5
Finally, we use the third condition f(2)=10
We put together eq 1, eq 2, and eq 3 to form the system
Adding the first two equations we have
And also
Using the above equation and the value of b in the third equation, we have
Subtracting the first equation from the second
And therefore
Now we have all the values, the quadratic function is