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: