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In the standard equation: y - k = a (x - h)2,  (h, k) represents the vertex of the parabola and a provides important information about the shape and direction of the parabola.

Use the action figure below to explore what happens to the graph of a parabola when the values of h, k and a in the equation y - k = a(x - h)2 are varied.

Use the questions below to check your understanding of what happens to the graph of a parabola when the values of h, k and a in the equation y - k = a(x - h)2 are varied.