Question

What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=1.5^x ?

Answer 1

ok, so this a question about shifts

to shift a function, f(x) up by c units, add c to the whole function

f(x) shifted up by c units is f(x)+c

find how far up it was shifted

at x=0, f(x)=1.5^0=1

we see that the translated function hits the y axis (where x=0) at y=-3

so it is a shift down by 4 units or shift up by -4 units

so the new function would be $g(x)=1.5^x-4$

answer is the first option