Answer:
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Step-by-step explanation: Remember a parable of the form f(x) = a[tex]a x^{2} + bx + c[/tex], satisfy:
(1) has only one root if and only if [tex] b^2 - 4ac = 0[\tex]
(2) has two real roots if and only if [tex] b^2 - 4ac > 0[\tex]
(3) has two complex roots if and only if [tex] b^2 - 4ac < 0[\tex].
The number b^2 - 4ac is called the discriminant of the parable f(x).
From the graph we can see that the parable has only one root approx in x =1. Thus from point (1) we can conclude that the discriminant should be zero.
PD: a root of a polynomial f(x) is a number a such thast f(a) =0.
The answer is A.
