Here is the graph of the parabola with the equation \((x - 4)^2 = -6(y - 4)\). It includes the vertex at \((4, 4)\), the focus at \((4, 2.5)\), and the directrix as the horizontal line \(y = 5.5\). The parabola opens downward as expected.

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Here are 5 related questions:
1. How would the graph change if the parabola opened upward instead of downward?
2. What would the graph look like if the vertex were shifted to a different point?
3. How does the graph of the parabola change if the value of \(

Explore the graph of the parabola with the equation (x - 4)^2 = -6(y - 4). Includes details on the vertex at (4, 4), focus at (4, 2.5), and directrix y = 5.5. Understand how the parabola opens downward and its key geometric properties.

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