<h2>
Answer:</h2>
The graph that shows the same shape is:
C.
<h2>
Step-by-step explanation:</h2>
We are given the parent function f(x) as:
Now, after looking at the graph we see that the graph is a translation of a function f(x) 3 units upward.
since, the vertex of graph is at (0,3).
Now, we will check which graph passes through the point (0,3)
A)
at x=0 we have:
Hence, option: A is incorrect.
B)
when x=0 we have:
Hence, option: B is incorrect.
D)
when x=0 we have:
Hence, option: D is incorrect.
Hence, we are left with option: C
It passes through (0,3).
Also, we know that the translation g(x) of a parent function f(x) k units upward is given by:
Here k=3
Hence,
Option: C is correct.