What is the equation of the axis of symmetry of the graph of y plus 3 x minus 6 is equal to negative 3 times open paren x minus 2 close paren squared plus 4 ?

First isolate y: y = -3(x - 2)² - 3x + 10. Expanding gives y = -3x² + 9x - 2, so the axis of symmetry is x = -b/(2a) = -9/(2 · -3) = 3/2. Therefore, the axis is x = 3/2, choice D.

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