Final answer:
To find the equation for the quadratic function, substitute the zeros and a point into the function and solve for a.
Step-by-step explanation:
The quadratic function can be written in the form f(x) = a(x - r)(x - s), where r and s are the zeros of the function. Given the zeros -5 + √6 and -5 - √6, we can rewrite the equation as f(x) = a(x - (-5 + √6))(x - (-5 - √6)).
To find the value of a, we can substitute the coordinates of the point (-1,20) into the equation and solve for a.
Plugging in the values of x and y into the equation, we get 20 = a(-1 - (-5 + √6))(-1 - (-5 - √6)). Simplifying this equation will give us the value of a, and we can substitute it back into the equation.