Question

Using the graph as your guide, complete the following statement

The discriminant of the function _____.

Answer 1

D. is zero

Explanation:

Graph of the Parabola

The quadratic function's graph is called a parabola. There is a clear relationship between the roots of the equation and the shape of the parabola.

If the equation has two real roots, the parabola has two x-intercepts. If the equation has only one real root, the parabola crosses the x-axis only once, and if the equation has no real roots, the parabola never crosses the x-axis.

If the equation of the parabola is

`y=ax^2+bx+c`

Then the so-called discriminant is

`d=b^2-4ac`

If the discriminant is zero, the equation has only one real root. The graph in the image only goes through the x-axis once.

Thus, the correct answer is

D. is zero