Question Video: Finding the 𝑦-Intercept Using a Graph of a Quadratic Function | Nagwa Question Video: Finding the 𝑦-Intercept Using a Graph of a Quadratic Function | Nagwa

# Question Video: Finding the π¦-Intercept Using a Graph of a Quadratic Function Mathematics • Third Year of Preparatory School

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Identify the π¦-intercepts of the quadratic function π(π₯) = π₯Β² β 1.

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### Video Transcript

Identify the π¦-intercepts of the quadratic function π of π₯ equals π₯ squared minus one.

The quadratic π of π₯ equals π₯ squared minus one is in the form π of π₯ equals ππ₯ squared plus ππ₯ plus π. In this form, the π¦-intercept is located at the point zero, π. The coefficient of π₯ squared, π, equals one. The coefficient of the π-term would be equal to zero; we donβt have an π₯-term. And our π-value is equal to negative one. Using this method, we find a π¦-intercept at zero, negative one. Additionally, of course, we know that the π¦-intercept is the place that the graph crosses the π¦-axis. And if we look closely at this graph, that is halfway between zero and negative two, where π¦ equals negative one.

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