The graph of f (x) = x^3 was transformed to g (x) = - (x+2) ^3-4. Which transformations were applied to the graph of f (x) ?

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Mathematics

Kelton Monroe

4 November, 04:54

The graph of f (x) = x^3 was transformed to g (x) = - (x+2) ^3-4. Which transformations were applied to the graph of f (x) ?

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Neil Pineda · Answer 1

The negative sign reflects the graph of f (x) across the x-axis (due to the negative sign before the brackets). Next there is a horizontal shift on the x-axis 2 units left (due to x+2). After that, there is a vertical shift on the y-axis 4 units down (due to the - 4)