I need a function rule for the following:
X Y
-2 -2
0 1
1 3
You posted this already and were given a method to do it by fitting a parabola of form ax^2 + bx + c. I left you with a proof that c = 1, and two additional equations to solve
-2 = 4a - 2b +1, and
2 = a + b + 1
(I had one of the equations wrong)
If you finish the problem, you should get
y = (-1/6)x^2 + (7/6)x +1
This does not help me at all. I am only in the beginning of Algebra 1. I have had nothing yet about parabola or the symbols you use. I just need a function rule for a graph!!!
where can find a site that helps with math
To find the function rule using the given values for X and Y, we can use the method of linear interpolation.
In this case, we have three points: (-2,-2), (0,1), and (1,3). Let's consider the general form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-2,-2) and (0,1), we have:
m = (1 - (-2)) / (0 - (-2))
m = 3 / 2
Now that we have the slope, we can substitute it into the equation with one of the points to find the value of b (the y-intercept).
Using the point (0,1):
1 = (3/2)(0) + b
1 = b
So, the function rule is:
y = (3/2)x + 1