{"id":223818,"date":"2024-10-14T00:18:23","date_gmt":"2024-10-14T00:18:23","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-is-the-relative-maximum-value-of-x2-2x-8\/"},"modified":"2024-10-14T00:18:23","modified_gmt":"2024-10-14T00:18:23","slug":"what-is-the-relative-maximum-value-of-x2-2x-8","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-is-the-relative-maximum-value-of-x2-2x-8\/","title":{"rendered":"What is the relative maximum value of x^2-2x-8?"},"content":{"rendered":"

The equation x^2-2x-8 represents a quadratic function, which is a type of polynomial function where the highest power of the variable is 2. In this case, the variable is x, and the equation represents a parabola. The relative maximum value refers to the highest point on the parabola.<\/p>\n

To determine the relative maximum value, we need to find the vertex of the parabola. The vertex represents the point where the parabola reaches its peak or the highest point. The x-coordinate of the vertex can be found using the formula: x = -b\/2a, where a and b are the coefficients of the quadratic equation.<\/p>\n

In the given equation x^2-2x-8, we can see that a = 1 and b = -2. Plugging these values into the formula, we get x = -(-2)\/2(1) = 2\/2 = 1. This means that the x-coordinate of the vertex is 1.<\/p>\n

To find the y-coordinate of the vertex, we substitute the x-coordinate back into the original equation. Plugging in x = 1, we get y = (1)^2-2(1)-8 = 1-2-8 = -9. Therefore, the y-coordinate of the vertex is -9.<\/p>\n

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