Substitute x = 0, to find y-intercept.
[tex]\begin{gathered} y=10(4)^x \\ y=10(4)^0 \\ y=10(1) \\ y=10 \end{gathered}[/tex]By inspection of the four graphs, the graph with a y-intercept of y = 10 is graph g.
Therefore, graph g represents the equation y = 10(4)ˣ.