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Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(-7, 134) (-3, 10) (5, 50)

Use quadratic regression to find the equation for the parabola going through these 3 points. (-7, 134) (-3, 10) (5, 50) class=

Answer :

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

[tex]y=ax^2+bx+c[/tex] ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

[tex]y=3x^2+(-1)x+(-2)[/tex]

[tex]y=3x^2-x-2[/tex]

Therefore, the equation of parabola is [tex]y=3x^2-x-2[/tex] and the missing values in the given equation are 3, -1 and -20.

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