Consider the equation y – 4 = 2(x + 3)2. Where is the vertex located, and in which direction does the parabola open?

The equation is in vertex form, y − k = a(x − h)². Here y − 4 = 2(x − (−3))², so the vertex is (−3, 4). Since the coefficient 2 is positive, the parabola opens up, making “vertex: (−3, 4); parabola opens up” the correct choice.

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