What is intercept form of a quadratic equation

Can every quadratic be written in this form. And what if the parabola doesn't touch the x-intercept? All quadratics can't be written in intercept form, only the ones which can be factored, which are not necessarily the ones whose parabolas donot have x-intercepts. Hope that helps. In general, any quadratic function can be written in the intercept form. When the values of a, b, and c are specifically given, then we can find the true intercept form.

Intercept form of a quadratic equation:. The intercept form of a quadratic equation is the form of a quadratic equation by which you can easily tell the x intercepts of the quadratic equation.

Email This BlogThis! Anonymous December 21, at AM. Anonymous January 10, at AM. We can solve these quadratics by first rewriting them in standard form. Because the quadratic is not easily factorable in this case, we solve for the intercepts by first rewriting the quadratic in standard form. We can check our work by graphing the given function on a graphing utility and observing the roots. Substituting these values into the formula we have:.

A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. Because the square root does not simplify nicely, we can use a calculator to approximate the values of the solutions. The ball will hit the ground after about 5. A rock is thrown upward from the top of a foot high cliff overlooking the ocean at a speed of 96 feet per second.

Improve this page Learn More. Skip to main content. Module 8: Quadratic Functions. Search for:. How To: Given a quadratic function, find the x -intercepts by rewriting in standard form. Show Solution We begin by solving for when the output will be zero.

Analysis of the Solution. Try It. Analysis of the Solution This quadratic equation has only non-real solutions.