Answer:
(2,5) is the point lie on the graph of [tex]y=f(x)+3[/tex]
Step-by-step explanation:
An ordered pairs is written in the form of (x,y) where x is the x-coordinate and y is the y-coordinate.
The parent function is defined by [tex]y=f(x)[/tex], where x and y are the coordinates.
Since ordered pair (2,2) lies on the graph of the parent function we have;
[tex]2=f(2)[/tex] ....(1)
The x values is always 2, so to put this value on the graph [tex]y=f(x)+3[/tex] we have;
[tex]y=f(2)+3[/tex]
Substitute the value of f(2) from (1) we get;
y=2+3
∴y=5
Therefore, the point (2,5) must lie one the graph of [tex]y=f(x)+3[/tex].
