What function is represented by the graph?

Answer:
[tex]f(x) = \frac{1}{4}^x[/tex]
Step-by-step explanation:
point on graph: (-2, 16)
[tex]16 = a^{-2}[/tex]
[tex]16 = \frac{1}{a^{2} }[/tex]
[tex]16a^{2} = 1[/tex]
[tex]a^2 = \frac{1}{16}[/tex]
[tex]a = \sqrt{\frac{1}{16} } = \frac{1}{4}[/tex]