Tom is sketching the graph of a quadratic function. He is asking his friends about how many x-intercepts his function can have. Here is the feedback from his friends.
Allison says the graph can have 1 x-intercept.
Carson says the graph can have no x-intercepts.
Dolly says the graph must have two x-intercepts.
Erica says the graph can have, at most, 1 x-intercept.
How many of Tom's friends are right and why?
OO
1: Dolly is right because a quadratic graph has exactly 2 x-intercepts.
O 2: Allison and Carson are right because the graph can have 0 or 1 x-intercepts.
3; Allison, Carson, and Erica are right because the graph can have 0, 1, or 2 x-intercepts.
4; They are all right because the graph can have varying number of x-intercepts