Question Video: Given the 𝑥-Intercepts and 𝑦-Intercepts Identify the Graph of a Quadratic Function | Nagwa Question Video: Given the 𝑥-Intercepts and 𝑦-Intercepts Identify the Graph of a Quadratic Function | Nagwa

# Question Video: Given the π₯-Intercepts and π¦-Intercepts Identify the Graph of a Quadratic Function Mathematics • Third Year of Preparatory School

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Which of the following graphs represents the quadratic function that intersects the π₯-axis at π₯β = β1, π₯β = 1 and the π¦-axis at π¦ = 1?

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### 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?

Weβre 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.

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