A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts
There are three possible roots of a quadratic function
- Complex roots
- Distinct real roots
- Repeated real roots
When [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:
The function has distinct real roots
In other words, the function has 2 different values of x
This implies that,
The function crosses the x-axis two times
When the function cross the x-axis, it means that the function has an x-intercept
Hence, the conclusion is:
a. The graph has two distinct x-intercepts.
Read more about quadratic functions at:
https://brainly.com/question/23033812
