The numbers a b and c are the coefficients of the equation and may be distinguished by calling. Y ax 2 bx c y ax h k know a b c want a h k a a h Solve for y k Substitute the values and rewrite. The general form of the quadratic equation is ax²bxc0 which is always put equals to zero and here the value of x is always unknown which has to be determined by applying the quadratic formula while the value of abc coefficients is always given in the question.
If we let u x2 then u2 x22 x4 and we can write.
U2 4u 32 0 u 8u 4 0 u 8 or u 4. Here are some examples. The x and y coordinates of the vertex are given by h and k respectively. Given a general quadratic equation of the form.