Question

Thomas 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-intercepts
Richard says the graph can have no x-intercepts
Linda says the graph must have two x-intercepts
Hope says the graph can have, at most 1 x-intercepts
How many of Tom's friends are right and why?

A: 0
B: 1; Linda is right because a quadratic graph has exactly two x-intercepts
C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.
D: 4; They're all right because the graph can have varying number of x-intercepts

Answer 1

Answer:

C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.

Answer 2

Answer:

Allison and Richard are right.

But Hope is wrong. according to her, the graph couldn't have 2 x-intercepts