Determine the values of \( \quad a, b \), and \( c \) for the quadratic equation: \( 4 x^{2}-8 x-3=0 \)

In the quadratic equation \(4x^2 - 8x - 3 = 0\), we can directly identify the values of \(a\), \(b\), and \(c\) by comparing it to the standard form \(ax^2 + bx + c = 0\). Here, \(a = 4\), \(b = -8\), and \(c = -3\). These coefficients tell us about the shape and position of the parabola represented by this equation, with \(a\) determining the width and direction (upward since it's positive), \(b\) influencing the horizontal placement, and \(c\) indicating the y-intercept of the graph.