Question

Which transformation of y = f(x) moves the graph 9 units to the left and 5 units down

Answer 1

y=f(x+9)-5

Explanation:

to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:

y=f(x+9)

then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:

y=f(x)-5

now, you would put that all together and it would look like this:

y = f (x+9) -5

i hope this helps.