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?