Answer:
[tex]g(x)=4^{x+7}[/tex]
Step-by-step explanation:
The given function is [tex]f(x)=4^x[/tex]
When we shift this function c units to the left, then the new function will take the form:
[tex]g(x)=f(x+7)[/tex]
This implies that:
[tex]g(x)=4^{x+7}[/tex]
Therefore the equation of the new graph is [tex]g(x)=4^{x+7}[/tex]
