Question

Find the quadratic equation that fits the following set of data points (-4,-109), (5,-262), (3,-102). Write the equation in standard form, y = ax² + bx + c. y = 0?

Answer 1

The quadratic equation that fits the given set of data points is y = 4.9x² - 14.3x - 20.0.

Step-by-step explanation:

The quadratic equation that fits the given set of data points (-4,-109), (5,-262), (3,-102) can be found by substituting the x and y values into the equation of the form y = ax² + bx + c, and solving for the constants a, b, and c.

Using the quadratic formula, we can determine that the equation in standard form is: y = 4.9x² - 14.3x - 20.0.

Hence, the quadratic equation that fits the given data points is y = 4.9x² - 14.3x - 20.0.