Final answer:
To find the quadratic function, substitute the x and y values into the equation and solve for the constants.
Step-by-step explanation:
To find the quadratic function from the given points (3,0) and (-1,0), we can use the fact that a quadratic function can be written in the form y = ax^2 + bx + c.
Substituting the x and y values of the points into this equation will give us a system of equations to solve for the constants a, b, and c.
Using the first point (3,0), we get 0 = 9a + 3b + c. Using the second point (-1,0), we get 0 = a - b + c.
Solving this system of equations will give us the quadratic function.
Substituting the values of a, b, and c into the equation, we get the quadratic function y = (3/16)x^2 - (15/16)x.