Verify each option
the answer is between option A and option B, because is not a linear equation
and option D is not the solution because the graph is a growth function, and the option D is a decay exponential function
we have that
For x=0 ------> y=1.5
option A ----> y=(0^2)+1.5=1.5 is ok
option B ----> y=1.5(1.25^0)=1.5 is ok
For x=1 ------> y is about 2
option A ----> y=(1^2)+1.5 =2.5
option B -----> y=1.5(1.25^1)=1.875 is ok
For x=3 ------> y is about 3
option A -----> y=(3^2)+1.5=10.5 is not ok
option B -----> y=1.5(1.25^3)=2.93 is ok
the answer is option B