For the equation y=-x^2 , find maximum/ minimum point, x-intercept, and line of symmetry.?

The graph will look like an upside-down U. If the equation were positive (y=x^2) the graph would look like a right-side-up U. The maximum or minimum is where it "changes". For this equation, it would be a maximum point (imagine the highest point on an upside-down U), which would be (0,0). The x-intercept would also be 0, because the equation only touches the x-axis at that point. The line of symmetry is the line where the graph is the same on each side if you reflected it. This would be x=0, since if you drew a vertical line on x=0, the graph would be symmetrical around that line.