Question

given the equation y=-2x^2+1. determine the direction of opening, coordinates of the vertex, Maximum or minimum value and the axis of symmetry

Answer 1

The sign of the term in x^2 is negative  so the graph will open downwards.
when x = 0 y = 1
The coordinates of the vertex are (0,1)
the maximum value of the function is 1
and the axis of symmetry ix x = 0 (  the y axis)