Unsure how to sketch graph

Question

Use your graphing calculator to help you complete each part. 

A function squares the input then adds 3 to obtain the output. 

Sketch the graph of the function. 

Answer 1

The function can be defined as f(x), where x is the input and f(x) (or y) is the output of the function.

In this question the input is squared and then increased by 3.

So f(x) = x² + 3

The graph will be an upwards opening parabola that is symmetric about the y-axis and with a vertex at (0,3).