Question

Graph the parabola y=x^2+1

Answer 1

Step-by-step explanation

Step 1

given

`y=x^2+1`

we can start from the graph of the pattern function

`\begin{gathered} paattern\text{ function} \\ y=x^2 \end{gathered}`

now, let's check the transformation made

`\begin{gathered} pattern\text{ function}\Rightarrow transformation\Rightarrow function \\ x^2\Rightarrow add\text{ 1}\Rightarrow x^2+1 \end{gathered}`

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