Question

The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed

function?

Answer 1

y=e^x+3.

Explanation:

Answer 2

y=e^x+3.

The given graph of the function y = e^x

he 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.