Question

The vertex of the parabola $(x-4{)}^2+2y=9$ is :

• A. $(2,8)$
• B. $(7,2)$
• C. $\left(4,\frac{9}{2}\right)$
• D. $\left(-4,-\frac{9}{2}\right)$

Answer 1

Answer: (C)

The given parabola can be written as:
$(x-4{)}^2=-2(y-9/2)$
which is of the form $x^2=4$ ay
Thus, the vertex is $(4,9/2)$.