ЯсноПонятно24

This is a quadratic equation in vertex form. The vertex form of a quadratic equation is given by y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

In this case, the equation is y = 4(x-3)² - 2. Comparing this with the vertex form, we can see that a = 4, h = 3, and k = -2.

Therefore, the vertex of the parabola is at (3, -2). The parabola opens upwards because the coefficient of the x² term is positive.

The equation represents a parabola that is shifted 3 units to the right and 2 units down from the standard parabola y = x².