To graph a parabola we need to know the coordinates of its vertex, focus and the equation of its axis. A parabola is symmetric about its axis.

The standard equation of parabola with vertex (h,k) and vertical axis x=h and focus lying on its axis, p units from the vertex is (x-h)² = 4p(y-k)

Similarly, the standard equation of a parabola with vertex(h,k) and horizontal axis y=k is expressed as (y-k)² =4p(x-h)

If we are given the equation of a parabola, we can easily identify its vertex, Axis and focus by comparing with the standard equations, identify its x and y intercepts and accordingly sketch the graph

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