Math

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Verify if this is the correct form please.

Given the parent function f(x)=log[10]x, state the equation of the function that results from a vertical stretch by a factor of 2/5, a horizontal stretch by a factor of 3/4, a reflection in the y-axis, a horizontal translation 2 units to the right, and a vertical translation 3 units down.

f(x)=alog[10](k(x-d))+c

=2/5log[10](-3/4(x-2))-3

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