Given the function%C2%A0 f(x)=log7x ,%C2%A0which of the following functions is the transformation of%C2%A0%C2%A0 f(x) %C2%A09 units down, 5 units left, reflected across the x-axis, and stretched vertically by a factor of 8?(1 point)

Answer 1

The given function is f(x) = log7(x)

To find the transformation described, we need to apply the following steps:
1. 9 units down: f(x) - 9
2. 5 units left: f(x+5)
3. Reflected across the x-axis: -f(x+5)
4. Stretched vertically by a factor of 8: -8f(x+5)

Combining all these transformations, we get: -8log7(x+5) - 9.

Therefore, the transformed function is f(x) = -8log7(x+5) - 9.