Step-by-step explanation:
f (x) + n → shifts the function n units upward.
f (x) – n → shifts the function n units downward.
f (x + n) → shifts the function n units to the left.
f (x – n) → shifts the function n units to the right.
–f (x) → reflects the function in the x-axis.
f (–x) → reflects the function in the y-axis.
[tex]f(x)=\ln(8-x)=\ln\bigg(-(x-8)\bigg)\\\\h(x)=f(x+8)=\ln\bigg(-(x-8+8)\bigg)=\ln(-x)\\\\g(x)=h(-x)=\ln\bigg(-(-x)\bigg)=\ln(x)[/tex]
STEP 1:
shift the graph 8 units to the left
STEP 2
reflect the graph in the y-axis
