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18 September, 01:27

How did we transform from f (x) = x2 to g (x) = - 3x2

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  1. 18 September, 03:38
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    f (x) is reflected over the x-axis and vertically scaled by a factor of 3

    Step-by-step explanation:

    If you compare the two functions, you see that ...

    g (x) = - 3f (x)

    Multiplication by - 1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)

    Multiplication by 3 is a vertical scaling by a factor of 3.

    Taken together, f (x) is reflected over the x-axis and vertically scaled by a factor of 3.
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