Question

tell whether graph opens upward/downward find axis of symmetry and vertex
y=-2x^2+6x+7

Answer 1

-2 tells you that it is downward

Answer 2

vertex and axis of symmetry

Answer 3

that will give you your axis of symmetry.
Take that x value and plug it into your equation and get your y value.
That point is your vertex, since it is downward it is a max point