Question

What is the vertex of a parabola having the equation y=-2(x-5)^2 +7? Which direction does the parabola open?

Vertex:___
Direction of opening:____

Answer 1

This can be written y-7=-2(x-5)² which is standard form for a parabola of vertex (5,7).
The coefficient is -2 and minus means the parabola is inverted like an upside-down U (that is, ∩) so it opens downwards.
The vertex is a maximum point.