Looking at the provided graph of a quadratic function, we can analyze the following properties:

1. Equation of the quadratic function: From the graph, the parabola seems to have its vertex around the point $(3, -50)$ and passes through the points at $(0, -20)$, which suggests it has a form of $y = ax^2 + bx + c$. Let's assume the general form is $y = a(x - h)^2 + k$, with vertex at $(h, k)$.

   Using the vertex form, we get: $y = a(x - 3)^2 - 50$ We can substitute the point $(0, -20)$ to solve for $a$: $-20 = a(0 - 3)^2 - 50$ $-20 = 9a - 50$ $30 = 9a$ $a = \frac{30}{9} = \frac{10}{3}$

   Thus, the equation of the quadratic function is: $y = \frac{10}{3}(x - 3)^2 - 50$

2. x-intercepts: The graph shows that the parabola crosses the x-axis at approximately $(0, -20)$. To find the exact x-intercepts, we need to set (y =