How do you compute the intercepts of a quadratic function?
What is the meaning of axis in regards to a quadratic function?© BrainMass Inc. brainmass.com June 4, 2020, 1:38 am ad1c9bdddf
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:
This solution explains how to find the roots, y-intercept and axis of symmetry of a quadratic equation.