The graph of the function f(x)=log7(x) is stretched vertically by a factor of 4, shifted to the left by 5 units, and shifted down by 3 units.

Respuesta :

The resulting function after all transformations have been carried out is; 4log7(x+5) + 2.

Which function results from all the Transformations?

The transformations which ensued on the function given are as follows;

Stretched vertically by a factor of 4; Hence, we have; 4f(x) = 4log7(x).

Shifted to the left by 5 units; 4f(x) = 4log7(x +5).

Shifted down by 2 units; 4f(x) +2 = 4log7(x+5) + 2.

On this note, it follows that the resulting function upon all the Transformations is; = 4log7(x+5) + 2.

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