Question

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. $\left( 4, \frac{7}{2}\right)$

Answer 1

Answer: (B)

Given equation of parabola is

$x^2 +2y = 8x -7$

$\Rightarrow x^{2} -8x = -2y -7$

$\Rightarrow x^{2} -8x +16 = -2y -7 +16$

$ \Rightarrow \left(x-4\right)^{2} = -2\left(y -\frac{9}{2}\right) $

$ \therefore $ Vertex of the parabola is $\left(4, \frac{9}{2}\right)$