Video Transcript
Which of the following graphs
represents the quadratic function that intersects the 𝑥-axis at 𝑥 one equals
negative one, 𝑥 two equals one and the 𝑦-axis at 𝑦 equals one?
We’re looking for a quadratic that
intersects the 𝑥-axis at two points and the 𝑦-axis at one point. 𝑥-intercepts are located at some
point 𝑥, zero. That is the place where the
𝑦-value of your coordinate equals zero. And similarly, the 𝑦-intercepts
will be located at some point zero, 𝑦, where the 𝑥-value of the coordinate is
equal to zero. Using the given information, we can
then say the 𝑥-intercepts will be located at the point negative one, zero and one,
zero. And the 𝑦-intercepts will be
located at the point zero, negative one.
By graphing the 𝑥-intercepts, we
can eliminate options (B), (C), and (E). The graphs in (A) and (D) both have
𝑥-intercepts at negative one, zero and one, zero. If we add the point zero, negative
one, if we add the 𝑦-intercept, to these graphs, we can further eliminate option
(D). Option (A) graphs the quadratic
function with 𝑥-intercepts at 𝑥 equals negative one and 𝑥 equals one and a
𝑦-intercept at 𝑦 equals negative one.
