Explanation
Step 1
given
[tex]y=x^2+1[/tex]
we can start from the graph of the pattern function
[tex]\begin{gathered} paattern\text{ function} \\ y=x^2 \end{gathered}[/tex]
now, let's check the transformation made
[tex]\begin{gathered} pattern\text{ function}\Rightarrow transformation\Rightarrow function \\ x^2\Rightarrow add\text{ 1}\Rightarrow x^2+1 \end{gathered}[/tex]
therefore, 1 was added to the function
To move a function up, you add outside the function: f (x) + b is f (x) moved up b units. Moving the function down works the same way; f (x) − b is f (x) moved down b units.
so
the function was shifted 1 unit upwards
so, the graph is
I hope this helps you
