Video Transcript
Identify the 𝑦-intercepts of the
quadratic function 𝑓 of 𝑥 equals 𝑥 squared minus one.
The quadratic 𝑓 of 𝑥 equals 𝑥
squared minus one is in the form 𝑓 of 𝑥 equals 𝑎𝑥 squared plus 𝑏𝑥 plus 𝑐. In this form, the 𝑦-intercept is
located at the point zero, 𝑐. The coefficient of 𝑥 squared, 𝑎,
equals one. The coefficient of the 𝑏-term
would be equal to zero; we don’t have an 𝑥-term. And our 𝑐-value is equal to
negative one. Using this method, we find a
𝑦-intercept at zero, negative one. Additionally, of course, we know
that the 𝑦-intercept is the place that the graph crosses the 𝑦-axis. And if we look closely at this
graph, that is halfway between zero and negative two, where 𝑦 equals negative
one.
