what happens to the function y=5^x in the new graph y=5^x-3

Answer 1

from f(x) = 5^x to g(x) =5^-x is a reflection over the y axis. If (x,y) was a point on the original exponential function, then (-x, y)is a point on the new function

then change -x to -3x vertically stretches the graph by a factor of 3

if (x,y) was a point on g(x) then (x,3y) is a point on h(x)

if (x,y) was a point on f(x) then (-x. 3y) is a point on h(x)