Question

Write a quadratic function whose only zero is 13? a) f (x) = (x - 13)² b) f (x) = (x + 13)² c) f (x) = (x - 13)(x + 13) d) f (x) = (x - 13)(x - 14)

Answer 1

The quadratic function that has only one zero at x = 13 is f(x) = (x - 13)² (option a).

Step-by-step explanation:

The quadratic function that has only one zero at x = 13 is f(x) = (x - 13)² (option a).

When a quadratic function has only one zero, it means that the vertex of the parabola is at that point. In this case, the vertex is at (13, 0). The function f(x) = (x - 13)² represents a parabola that opens upwards and is centered at x = 13 with its vertex at (13, 0).