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Let f ( x ) = x 2 . Find a formula for a function g whose graph is obtained from the graph of y

Letf(x) =x².

Find a formula for a functiongwhose graph is obtained from the graph ofy=f(x)after the following sequence of transformations:

Shift left4units.

Reflection across they-axis.

Shift down2units.

Vertical scaling by a factor of3.

Reflection across thex-axis.

g(x)=___________________

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