Write the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10).

Step-by-step explanation:

System Of Linear Equations

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

answer: 180

step-by-step explanation:

12-2=10

20-2=18

10x18=180

answer:   y=2x-3

step-by-step explanation: