When a parabola represented by the equation y – 2x² = 8x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at?
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The vertex form of the equation of a parabola with vertex at (h, k) is given by
.
Given the parabola
Using the method of completing the square, we convert the equation into vertex form to have
Thus, the vertex of the given parabola is at (-2, -3).
Translating the vertex 3 units to the left and 2 units up gives the new vertex (-2 – 3, -3 + 2) = (-5, -1).