Question

20 POINTS! HURRY!

The ordered pair (2, 2) lies on the graph of the parent function. What point must lie on the graph of y = f(x) + 3?

The parent function is y = f(x)

Answer 1

(2,5) is the point lie on the graph of
`y=f(x)+3`

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
`y=f(x)`, where x and y are the coordinates.

Since ordered pair (2,2) lies on the graph of the parent function we have;

`2=f(2)` ....(1)

The x values is always 2, so to put this value on the graph
`y=f(x)+3` we have;

`y=f(2)+3`

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
`y=f(x)+3`.