Question

Which equation is represented by the graph below?

Answer 1

`y=e^x-4`

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

`y=e^x`

When this function shifts 4 units down, then the equation of new curve is

`y=e^x-4`

Therefore, the required equation is
`y=e^x-4`.