The graph of the function f(x)=log6(x) is stretched vertically by a factor of 7, reflected over the x-axis, reflected over the y

Question

2 years ago

7

-axis, and shifted up by 2 units.

1 answer:

Nataly [62] · Answer 1 · 2023-02-24T13:11:45+03:00

The resulting function after all transformations have been carried out is; -7log6(-x) - 2.

<h3>Which function results from all the Transformations?</h3>

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

Stretched vertically by a factor of 7; Hence, we have; 7f(x) = 7log6(x).
Reflected over the x-axis; -7f(x) = -7log6(x).
Reflected over the y-axis; -7f(x) = -7log6(-x).
Shifted up by 2 units; -7f(x) -2 = -7log6(-x) - 2.

On this note, it follows that the resulting function upon all the Transformations is; = -7log6(-x) - 2.