Question

Direction if parabola. x2?6x+8=yx2-6x+8=y

Answer 1

{\text{Direction of parabola depends on the sign of quadratic coefficient of a }} \hfill \\

{\text{quadratic equation}}. \hfill \\

{\text{For given quadratic equation}}. \hfill \\

a{x^2} + bx + c = 0 \hfill \\

{\text{The parabola is in the upward direction if }}a{\text{ }} > {\text{ }}0{\text{ and in downward direction if }}a < 0 \hfill \\

{\text{Here, the equation of given parabola is }} \hfill \\

{x^2} - 6x + 8 = y \hfill \\

\Rightarrow y = \left( {{x^2} - 6x + 9} \right) - 9 + 8 \hfill \\

\Rightarrow y = {\left( {x - 3} \right)^2} - 1. \hfill \\

{\text{Thus, the parabola is in the upward direction}} \hfill \\