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Finding quadratic function from points (3,0) (-1,0)

User Mick Byrne
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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.

User Jaryd
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8.3k points

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