### Video Transcript

Which of the following graphs
represents the quadratic function that intersects the π₯-axis at π₯ one equals
negative one, π₯ two equals one and the π¦-axis at π¦ equals one?

Weβre looking for a quadratic that
intersects the π₯-axis at two points and the π¦-axis at one point. π₯-intercepts are located at some
point π₯, zero. That is the place where the
π¦-value of your coordinate equals zero. And similarly, the π¦-intercepts
will be located at some point zero, π¦, where the π₯-value of the coordinate is
equal to zero. Using the given information, we can
then say the π₯-intercepts will be located at the point negative one, zero and one,
zero. And the π¦-intercepts will be
located at the point zero, negative one.

By graphing the π₯-intercepts, we
can eliminate options (B), (C), and (E). The graphs in (A) and (D) both have
π₯-intercepts at negative one, zero and one, zero. If we add the point zero, negative
one, if we add the π¦-intercept, to these graphs, we can further eliminate option
(D). Option (A) graphs the quadratic
function with π₯-intercepts at π₯ equals negative one and π₯ equals one and a
π¦-intercept at π¦ equals negative one.