How to find the graph of a parabola?

This question is so general that a thorough answer would be quite long.  Could you be more specific about what you want to know?

y = a(x-h)^2 + k is an equation for a parabola with vertex at (h,k).  the graph opens up if a is + and down if a is -.

y = ax^2 + bx + c is another common form.
The y-intercept of the graph is (0,c).  The graph opens up if a is + and down if a is -.     The x-coordinate of the vertex is   x = -b/(2a).  Substitute that into the given function to calculate the associated y-value.

Again, what specifically would you like to learn?

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