Question

Given a quadratic function, f(x) = ax 2 + bx + c has a positive leading coefficient and the vertex that has a y-coordinate of zero. Determine the number of real zeros of the function.

Answer 1

The number of real zeros would be two.

Answer 2

1 unique solution (or 2 equal roots)

Explanation:

The given quadratic equation as:

f(x)=ax² + bx + c

Given that the leading coefficient which is a is positive and also, the y-coordinate of vertex of the shape of parabola representing the following quadratic equation is 0.

The shape of parabola representing the equation is shown in the image below.

Such quadratic equations has only 1 unique solution (or 2 equal roots).