Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Find the y-intercept of a quadratic from its equation
Problem
Find the \(y\text{-}\text{intercept}\) of \(f(x)=x^2-5x+6\).
Big Picture
What this problem is really about
An intercept is found by fixing the coordinate that belongs to its axis. For the vertical-axis crossing, we’ll set the input to zero, simplify every term carefully, write the result as an ordered pair, and confirm it in an equivalent form.
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