Question

The vertex of the parabola $y+2=(x-3{)}^2$ is

• A. (3,2)
• B. (3,-2)
• C. (-3,-2)
• D. (-3,2)

Answer 1

The correct option is B (3,-2)

If the vertex of a parabola is (h,k), then its equation will be $y-k=(x-h{)}^2$
$\therefore$the equation of the parabola can be rewritten as: $y-(-2)=(x-3{)}^2$
On comparing, h=3, k=-2
$\therefore$The vertex of the parabola is (3,-2)