Q. The vertex of the parabola $x^{2} + 2y = 8x - 7\$ is
A) $\left( \frac{9}{2},0 \right)$
B) $\left( 4,\frac{9}{2} \right)$
C) $\left( 2,\frac{9}{2} \right)$
D) $\left( 4,\frac{7}{2} \right)$
Explanation
(b)
Given equation can be rewritten as
$(x - 4)^{2} = - 2\left( y - \frac{9}{2} \right)$
$\therefore$ Vertex of the parabola is $\left( 4,\frac{9}{2} \right)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.