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Hence, or otherwise, find the coordinates of the minimum point of the curve y =
x² + 4x – 7.

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Answer: To find the minimum point of the curve y = x^2 + 4x - 7, we need to find the vertex of the parabolic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

where a = 1 (coefficient of x^2), b = 4 (coefficient of x), and c = -7 (constant term). So, we have:

x = -4 / (2 * 1) = -2

The y-coordinate of the vertex can be found by substituting the x-coordinate into the original equation:

y = -2^2 + 4 * -2 - 7 = 4 - 8 - 7 = -11

So, the minimum point of the curve y = x^2 + 4x - 7 is located at the point (-2, -11).

Explanation:

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