Given: An equation of the parent function-
[tex]y=4^x[/tex]
And a graph of an equation is given.
Required: To determine the equation of the given graph.
Explanation: The graph of the parent equation passes through the point (0,1) as shown below-
Now, the graph given passes through the point (0,3). Hence at x=0, the value of the function, y=3.
The equation of the graph satisfying this point is-
[tex]y=3(4)^x[/tex]
Final Answer: Option D is correct.
