# Analysis Of Quadratic Function

How do you compute the intercepts of a quadratic function?

What is the number of x- and y-intercepts that quadratic functions may have?

What is the meaning of axis in regards to a quadratic function?

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#### Solution Preview

A quadratic function is one that follows the general form of y=ax^2+bx+c, where a is the coefficient before x^2, b is the coefficient before x and c is a constant that represents the y-intercept of the equation.

If we set x to zero, then the function reduces to y=c, so the y-intercept of the function is the ordered pair, (0,c).

If we set y to zero, and solve for x, then we determine the x-intercepts known as the roots of the equation.

The two methods used to determine the roots are:

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#### Solution Summary

This solution explains how to find the roots, y-intercept and axis of symmetry of a quadratic equation.