I need help 2 like badly![\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C4%265%266%5C%5C7%268%269%5Cend%7Barray%7D%5Cright%5D%20)
Please help me with this math.
1 answer:
You might be interested in
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