Question

Find a parabola given 3 points using a calculator.

a) y = ax² + bx + c
b) y = cx² + bx + a
c) y = ax² + cx + b
d) y = cx² + ax + b

Answer 1

To find the equation of a parabola given three points, use the quadratic regression function on a calculator and follow these steps. The correct option is c.

Step-by-step explanation:

The trajectory of a projectile can be modeled by a parabolic equation of the form y = ax + bx². To find the equation of a parabola given three points, you can use the quadratic regression function on a calculator. Here are the steps:

To find the equation of a parabola given three points, use the quadratic regression function on a calculator and follow these steps.

1. Enter the three points into the calculator and make a scatter plot.
2. Use the calculator's regression function to find the equation of the least-squares regression line.
3. Add the regression line to your scatter plot to visualize the parabola.

Remember to substitute the values of the coefficients, a, b, and c, with the values given in the problem. In this case, a = 1.00, b = 10.0, and c = -200.