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quadratic equation in general form. Y ax2 bxc y ax2 bx c Quadratic functions can be written in three different forms. Subtract the constant term ca from both sides.
The term second degree means that at least one term in the equation is raised to the power of two. Where x is an unknown variable and a b c are constants with a 0 if a 0 then it becomes a linear equation. General formstandard form vertex form and factored form.
Generalization Given a quadratic equation in the form of ax 2 bx c 0 where a b and c are real numbers and a 0.
Let us start with the quadratic function in general form and complete the square to rewrite it in standard form. Ax squared plus two bxy plus cy squared Thats how this entire term expands. Any quadratic function can be written in the standard form f x a x - h 2 k where h and k are given in terms of coefficients a b and c. Given function f x f x ax 2 bx c.