Question

Using the graph as your guide, complete the following statement.

The discriminant of the function
• A. positive
• B. negative
• C. zero

Answer 1

The discriminating the function is zero because it has both positive and negative discriminants

Answer 2

Answer: Positive

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Reason:

The discriminant is

d = b^2-4ac

which is the stuff under the square root in the quadratic formula.

We have these three cases

• d > 0 means we get two different real number solutions
• d = 0 means we get exactly one real number solution
• d < 0 means there are two nonreal complex solutions

The graph shows we have 2 solutions. Each solution is an x intercept, aka "root". We go for the case in which d > 0. Therefore, the discriminant is positive.