Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.
Identify the y-intercept of a quadratic
Problem
Find the \(y\)-intercept of this quadratic function: \(f(x)=x^2-5x+6\).
Big Picture
What this problem is really about
A y-intercept is found by using the input shared by every point on the vertical axis. We’ll substitute that input into the quadratic, simplify the output, and then write the result as an ordered pair in input-output order. This is different from setting the output to zero, which would instead locate horizontal-axis crossings.
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