Graphing a parabola from vertex form worksheet 2025

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When written in vertex form: (h, k) is the vertex of the parabola, and x = h is the axis of symmetry. the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0). the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
How to Graph a Parabola? Step 1: Find the vertex of parabola. Step 2: Find some other points on the parabola by taking. random values for x if its a up/down open parabola. random values for y if its a left/down open parabola. Step 3: Plot the vertex and the points found in Step 1 and Step 2 and join them by a smooth curve.
Vertex cant be directly identified from standard form. Convert standard form into vertex form y = a (x - h)2 + k, then (h, k) would give the vertex of the parabola.
The standard form of a vertical parabola, a parabola opening either up or down, is (x - h)2 = 4p(y - k), where the focus is (h, k + p). The standard form of a horizontal parabola, a parabola opening either to the left or right, is (y - k)2 = 4p(x - h), where the focus is (h + p, k).
0:00 7:57 Now lets go ahead and plot. The. Vertex so its two units to the right and down three so its overMoreNow lets go ahead and plot. The. Vertex so its two units to the right and down three so its over here. Now the parent function is y is equal to x squared.
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