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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We know that the function has a zero at $x=4$ and the greatest value is at $x=1$. For quadratic functions, the maximum or minimum is always on the axis of symmetry. This means that this function's axis of symmetry must have the equation $x=1.$ Draw the line and the known zero in a coordinate system.

Because the axis of symmetry splits the quadratic graph in half, both the zeros are equally far from the line of symmetry. The known zero is $3$ steps, **right** of $x=1,$ so the second zero must then be three steps **left** of $x=1.$

The second zero is located in $x=-2.$