Just make a table to gather a few points, then graph them. It should look like a straight line. From the graph you can find both the x and y intercepts.
Just like for linear equations, make a table and plot a few points. It would also be beneficial to find the vertex. By looking at the graph you can find the x and y intercepts and if it is a maximum or a minimum. Solving a quadratic equation by graphing means looking for the zeros.
You can either make a table to gather several values or you can go from what you know about radical functions and just graph from there. (ie- √(x+5) just move to the left 5, and start curve on x-axis).
Again, you can either make a table or go off of what you already know about rational equations.
First make a table and graph the line/parabola as you would for a linear/quadratic equation. To decide where to shade plug in the point (0, 0). If the point works in the equation then shade on the side of the line/parabola that the point is on. If it does not work when you plug it in, shade on the opposite side where that point is not.