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

Question

asked Nov 5, 2020 183k views

1 Answer

Bigsby · Answer 1 · 2020-11-10T16:07:42+0000

The parent function
y=e^x passes through the point
(0,1) , since
e^0=1

Your function passes through the point
(0,4) , which means that the parent function has been translated 3 units up.

To translate a function vertically, you have to add a constant, i.e. you have to transform
$f(x)\mapsto f(x)+k$

k is the amount of units you want to translate: positive if you translate upwards, negative if you translate downwards.

In your case, you move 3 units upwards, so you want k=3 and your function is

y=e^x+3