Question

Using quadratic regression, find an equation in standard form of the parabola passing through the points (-4, 3), (-1, -6), (3, 10).

Answer 1

To find the equation of the parabola passing through the given points using quadratic regression, enter the data points and use the regression function to find the equation.

Step-by-step explanation:

To find the equation of the parabola passing through the points (-4, 3), (-1, -6), (3, 10) using quadratic regression, we need to fit a quadratic equation of the form y = ax^2 + bx + c to the given points. We can use the quadratic regression feature of a calculator or spreadsheet to find the values of a, b, and c. Here are the steps:

1. Enter the data points into your calculator or spreadsheet.
2. Use the regression function to find the equation of the quadratic regression line.
3. The equation obtained will be in the form y = ax^2 + bx + c, which represents the parabola in standard form.

Using this method, the equation of the parabola passing through the given points is:
y = 1.5285714285714285x^2 + 0.3x - 6.052857142857143