Example  2
Determine the \(x\)- and \(y\)-intercepts of the following quadratic functions.


  1. Because this function never crosses the \(x\)-axis, there are no \(x\)-intercepts.

    The function does cross the \(y\)-axis at \((0, -5)\), therefore the \(y\)-intercept is \(-5\).

  2. The function crosses the \(x\)-axis two times, at \((-2, 0)\) and \((0, 0)\). There are two \(x\)-intercepts, \(-2\) and \(0\).

    The function crosses the \(y\)-axis at \((0, 0)\) as well, therefore the \(y\)-intercept is \(0\).

  3. This function does not cross the \(x\)-axis, but touches it at \((2, 0)\). It has one \(x\)-intercept at \(2\).

    The function crosses the \(y\)-axis at \((0, 2)\), so the \(y\)-intercept is \(2\).