Describe how the graph of y=-x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex.

Both the equation show a graph of a parabola. The equation y=-x^2+1 is a parabola opening downward since the x variable has a negative sign. While the equation y=x^2 is also a parabola opening upward since x^2 is positive. Both parabola have axis of symmetry on the y-axis. Vertex for the first parabola is on (0,1) while the second parabola is at the origin.