The vertex of the transformed parabola with the equation
is (h, k).
<h3>What are the transformation rules for horizontal and vertical shifts?</h3>
The transformation rules are:
Translation: (x, y) → (x + a, y) or (x, y) → (x - a, y) (Horizontal shift)
Translation: (x, y) → (x , y + b) or (x, y) → (x , y - b) (Vertical shift)
<h3>Calculation:</h3>
It is given that, the transformed parabola is ![y=a(x-h)^2+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk)
This parabola has vertex at (h, k).
Since this equation is obtained by shifting h units horizontally and k units vertically.
So, the original vertex is at (h - h, k - k) = (0, 0)
Thus, the equation of the actual parabola is ![y=ax^2](https://tex.z-dn.net/?f=y%3Dax%5E2)
Therefore, the given transformed equation of parabola has vertex (h, k).
Learn more about transformation rules here:
brainly.com/question/12537916
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