How to you compute the intercepts of a quadratic function?
For the x-intercept, set x to 0. For the y-intercept(s) (if any), set y to 0.
To compute the intercepts of a quadratic function, you need to find the x-intercept(s) and the y-intercept(s) of the graph of the function.
To find the x-intercept(s), you need to set the y-value (or the function itself) to 0 and solve for the corresponding x-values. This is because the x-intercept is the point(s) where the graph of the function crosses the x-axis. To do this, set the quadratic equation equal to 0 and solve for x using factoring, completing the square, or the quadratic formula.
For example, if you have a quadratic function of the form y = ax^2 + bx + c, set y = 0 and solve the resulting quadratic equation ax^2 + bx + c = 0 for x to find the x-intercept(s).
To find the y-intercept(s), you need to set the x-value to 0 and evaluate the function at that point. This is because the y-intercept is the point(s) where the graph of the function crosses the y-axis. By substituting x = 0 into the quadratic function, you can find the corresponding y-value(s).
Once you solve the equations or evaluate the function at x = 0, you will have the x-intercept(s) and the y-intercept(s) of the quadratic function.