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

The correct option is B

$\left(4,\frac{9}{2}\right)$

Explanation for the correct option:

Given equation of the parabola is $x^2+2y=8x-7$

Vertex of parabola is $(0,0).$

The equation can be written as ${(x-4)}^2=-2\left(y-\frac{9}{2}\right)$

The vertex of parabola is $\left(4,\frac{9}{2}\right)$

Hence the correct option is $\mathrm{Option}\left(\mathrm{B}\right)$