Answer:
[tex]y=e^x-4[/tex]
Step-by-step explanation:
From the given graph it is clear that,
1. Graph increasing exponentially.
2. It intersect the y-axis at y=-3.
3. As x approaches to a large negative number, then the function approaches towards -4.
So, the given graph represents an exponential function which shifts 4 units down.
The general form an exponential function is
[tex]y=e^x[/tex]
When this function shifts 4 units down, then the equation of new curve is
[tex]y=e^x-4[/tex]
Therefore, the required equation is [tex]y=e^x-4[/tex].
