Answer :

[tex]y=11(9^0)+3\\ y=11\cdot1+3\\ y=14[/tex]

The y-intercept is [tex](0,14)[/tex]
the y-intercept is when the y-coordinate is at 0 or when x=0
so set x to 0

y=11(9^x)+3
anything to the 0 power=1 so 
y=11(1)+3
y=11+3
y=14