Question

The vertex of parabola $x^2+2y=8x-7$ is

• A. $(4,\frac{7}{2})$
• B. $(4,\frac{9}{2})$
• C. $(\frac{9}{2},4)$
• D. $(\frac{7}{2},4)$

Answer 1

The correct option is B $(4,\frac{9}{2})$

Parabola is $x^2-8x=-2y-7$
$\Rightarrow (x-4{)}^2=-2(y-\frac{9}{2})$
so vertex is $(4,\frac{9}{2})$