Question

the graph of y=e^x is transformed as shown in the graph below. which equation represents the transformed function?

Answer 1

Answer:

Option B is correct.

the equation: $y =e^x+3$ represents the transformed function.

Step-by-step  explanation:

The given graph of the function: $y=e^x$  

The transformation occur when we add c to the parent function $y=e^x$   giving us a vertical shift c unit in the same direction as the sign.

The y axis of a coordinate plane is the vertical axis. When a function shifts vertically, the value of y changes.

The given parent function: $y=e^x$,

we can now graph the vertical shift alongside i.e, c=3

Then, the upward shift function is,  $y=e^x+c$

Substitute the value of c=3,

then, the transformed equation becomes, $y =e^x+3$ as it goes through (0,4).

∴The equation $y =e^x+3$ represents the transformed function.

Answer 2

Its B, y=e^x+3. I graphed it and it goes through (0,4) too.