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Write the coordinates of the turning point of the curve
y=-x²-8x+19

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Final answer:

The coordinates of the turning point of the curve are (4, -29).

Step-by-step explanation:

To find the coordinates of the turning point (also known as the vertex) of the quadratic equation y = -x² - 8x + 19, we can use the formula x = -b/2a. In this equation, a = -1, b = -8, and c = 19. Plugging in these values, we get x = -(-8)/(2*(-1)) = 4.

To find the corresponding y-coordinate, substitute this value of x back into the original equation: y = -4² - 8(4) + 19 = -16 - 32 + 19 = -29. Therefore, the coordinates of the turning point of the curve are (4, -29).

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