Problem

Build a complete sketch fingerprint for \(y=-(x+2)(x-4)\). Find the zeros, use their midpoint for the axis, evaluate the vertex and \(y\text{-}\text{intercept}\), use the leading sign for the opening direction, and verify the symmetric inputs \(x=0\) and \(x=2\).

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Zeros −2,4; axis x=1; vertex (1,9); opens up; y-intercept (0,8); symmetric points (0,8), (2,8).

Zeros −2,4; axis x=1; vertex (1,9); opens down; y-intercept (0,8); symmetric points (0,8), (2,8).

Zeros −2,4; axis x=−2; vertex (−2,0); opens down; y-intercept (0,8); symmetric points (−3,−7), (−1,5).

Zeros 2,−4; axis x=−1; vertex (−1,5); opens down; y-intercept (0,8); symmetric points (−2,0), (0,8).

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