Respuesta :
Answer:
f(x) = (x - 3) (x - 13)
Step-by-step explanation:
We know that the zeros of a quadratic function correspond to the x-intercepts of its graph. Since the zeros are -3 and -13, the function will touch the x-axis at these points.
One way to construct a quadratic function is by using the factored form:
f(x) = a(x + b)(x + c)
where a, b, and c are constants, and b and c represent the zeros of the function (in this case, -3 and -13).
In this case, we can set a = 1 (it doesn't affect the zeros, just scales the function vertically), b = -3, and c = -13:
f(x) = (x + (-3)) (x + (-13))
Expanding the brackets:
f(x) = (x - 3) (x - 13)
This is a quadratic function whose zeros are -3 and -13.
