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Question at position 2
What are the coordinates of the vertex of the parabola described by the equation below?

y = -7( x - 4)² - 5

1 answer

The given equation of the parabola is in vertex form, which is expressed as:

\[ y = a(x - h)^2 + k \]

where \((h, k)\) represents the coordinates of the vertex.

From the equation \(y = -7(x - 4)^2 - 5\):

  • \(h = 4\)
  • \(k = -5\)

Thus, the coordinates of the vertex are:

\((h, k) = (4, -5)\)

So, the answer is:

(4, -5)