Questions: Use quadratic regression to find the equation for the parabola going through these 3 points. (4,80),(-3,-11), and (-1,-15) y=[?] x^2+□ x+□

Solution Steps

We are given three points through which the parabola passes: \[ (4, 80), (-3, -11), (-1, -15) \]

Using the points provided, we perform quadratic regression to find the coefficients \(a\), \(b\), and \(c\) of the quadratic equation in the form: \[ y = ax^2 + bx + c \]

The result of the quadratic regression yields the following equation: \[ y = 3.00x^2 + 10.00x - 8.00 \]

From the regression, we have:

• \(a = 3.00\)
• \(b = 10.00\)
• \(c = -8.00\)

Final Answer