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

Question

Mathematics

Monica

31 May, 23:28

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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Eric Roberson · Answer 1

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.