Given the parent function, y=2^x, write an equation for a function that has a vertical shift down 5 units.
Wouldn't each y value be 5 less than before
e.g. If (3,8) is a point on the given equation, then (3,3) would be a point on your new equation
where did I get the original 8 ? ---- from the 2^x)
what did I do to the 8 ????
so... y = ......
To obtain a function that has a vertical shift down 5 units, we need to subtract 5 from the original function.
Starting with the parent function: y = 2^x
To shift it downward by 5 units, subtract 5 from the entire function:
y = 2^x - 5
Now, the new equation represents the desired function that is the original function shifted down by 5 units.