Correct? ...Which quadratic regression equation best fits the data set?
1 answer:
1) The second selection looks correct, as it is the only one with a minimum at a positive x value, and a y-intercept more than 109.
2) Your choice cannot be correct, as it corresponds to a function with a minimum near x = 1.278/(2*0.056) ≈ 11.4. The function is obviously decreasing at that point, so is not a minimum there. My calculator shows the 4th selection is best.
2) Your choice cannot be correct, as it corresponds to a function with a minimum near x = 1.278/(2*0.056) ≈ 11.4. The function is obviously decreasing at that point, so is not a minimum there. My calculator shows the 4th selection is best.
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The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)
Let
f(x) = ax² + bx + c
Plug x = 0, and y = 2
c = 2 ...(1)
Plug x = 1 and y = 0
a + b + c = 0 ..(2)
Plug x = -1 and y = 0
a - b + c = 0 ...(3)
After solving (1), (2), and (3)
a = -2
b = 0
c = 2
f(x) = -2x² + 2
Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
Learn more about the function here:
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