Answer :
Answer:
y = [tex]\frac{1}{x+3}-8[/tex]
Step-by-step explanation:
When you change anything horizontally, you only change the x part. When you change anything vertically, you change the whole function.
In this case, since you shift left 3 units, you only alter the x:
y = [tex]\frac{1}{x}[/tex] becomes y = [tex]\frac{1}{x+3}[/tex]
It's x + 3 instead of x - 3 because horizontal is kind of backwards. - means right and + means left.
Now, when you shift down 8, you are altering the whole function, so:
y = [tex]\frac{1}{x+3}[/tex] becomes y = [tex]\frac{1}{x+3}-8[/tex]
Notice that this time, it's - 8 and not + 8 because vertical is not backwards like horizontal is: - means down and + means up.
So, the answer is y = [tex]\frac{1}{x+3}-8[/tex].