The vertex of the quadratic function is (-1/47, -3/47).
The quadratic function using the quadratic formula. The quadratic formula is given by:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic function. In this case, a = 141, b = 12, and c = 0.
Substituting these values into the quadratic formula, we get:
x = (-12 ± √(12² - 4 * 141 * 0)) / 2 * 141
x = (-12 ± √144) / 282
x = (-12 ± 12) / 282
x = -1/47 or x = -1/47
Since the quadratic function is symmetric, the vertex is the average of the two roots.
Therefore, the vertex of the quadratic function is (-1/47, -3/47).