Graphing a parabola of the form y xh 2 k


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If the parabola of the form y = a(x – h)2 + k is always shifted horizontally h units and vertically k units, then its vertex is always

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The parabola defined by
y = a(x - h)² + k
has its vertex at (h,k).

After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by
y = a(x - 2h)² + 2k
which has its vertex at (2h, 2k).

Answer: The vertex gets shifted by h units horizontally and k units vertically.

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