Question

A soccer ball is kicked at a velocity of 25 meters per second. The following table shows the horizontal distance (in meters) at different angles of elevation (in degrees), ignoring wind resistance.

Using a quadratic regression calculator, determine the values of a, b, and c that can be used to write a quadratic function that provides a reasonable fit to the set of data. What is the value of c?
A.) 8.5411
B.) -8.5411
C.) 85.411
D.) -85.411

Answer 1

To determine the value of c in a quadratic function, calculate the y-intercept by finding the y-coordinate of the vertex of the graph.

Step-by-step explanation:

To find the values of a, b, and c that can be used to write a quadratic function, you will need to use a quadratic regression calculator. The value of c is the y-intercept of the quadratic function. It represents the vertical distance from the origin (0,0) to the graph of the quadratic function. You can determine the value of c by looking at the y-coordinate of the vertex of the graph.

Once you have the quadratic function, you can use it to make predictions about the soccer ball's horizontal distance at different angles of elevation.