Find the maximum value of the parabola y=-5x^2-2x Simplify your answer and write it as a proper fraction, improper fraction, or integer. square

To find the maximum value of the parabola , we need to determine the vertex of the parabola. The vertex form of a parabola is given by , where is the vertex of the parabola.The x-coordinate of the vertex can be found using the formula , where and are the coefficients of and respectively.In this case, and . Plugging these values into the formula, we get: Now that we have the x-coordinate of the vertex, we can substitute it back into the original equation to find the y-coordinate: Therefore, the maximum value of the parabola is .