I’m pretty sure the answer is 16, I’m very sorry if this is incorrect.
If you have a function y = f(x), the transformation along the x-axis is given by:
y = f(x+a) ⇒ This is the translation to the LEFT by 'a' units
y = f(x-a) ⇒ This is the translation to the RIGHT by 'a' units
So you have, f(x) = 5ˣ, translated 4 unit right will give g(x) = 5⁽ˣ⁻⁴⁾
Answer:
There are 12 circles and 6 of them are shaded. You have to find the ratio of how many circles are shaded and 6 circles are shaded and because, 6 is half of 12 the answer is 1 over 2=0.5
You can solve this by using 8!
when you put this through a calculator, you'll get 40320.
Therefore, eight boxes can be arranged in 40,320 different ways on a shelf.
Hope that helps :)