Answer:
Step-by-step explanation:
The graph of a transformed exponential function has to be found out
Since asymptote is y=3 we have
[tex]y=ab^x+3[/tex]
Substitute the given points to get
[tex]4=ab+3\\19 = ab^{-2} +3\\16=\frac{1}{b^3} \\b=\sqrt[3]{\frac{1}{16} }[/tex]
Hence [tex]a=\sqrt[3]{16}[/tex]
The function would be
[tex]y=\sqrt[3]{16}(\sqrt[3]{\frac{1}{16} })^x+3[/tex]
When x=0 y intercept = 5.52
Hence none of the choices matches this.
