Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?
2 units left and 3 units up
2 units left and 3 units down
OOO
2 units right and 3 units up
2 units right and 3 units down

Respuesta :

Answer:

C : 2 units right and 3 units up.

Step-by-step explanation:

Took this test before, this is the correct answer!

Function translations involve changing the position of a function

The true statement is: (c) 2 units right and 3 units up.

The functions are given as:

[tex]\mathbf{y = (x + 2)^2}[/tex]

[tex]\mathbf{y = x^2 + 3}[/tex]

First, the function is translated right by 2 units.

So, we have:

[tex]\mathbf{y = (x + 2 - 2)^2}[/tex]

[tex]\mathbf{y = x^2}[/tex]

Next, the function is translated up by 3 units.

So, we have:

[tex]\mathbf{y = x^2 + 3}[/tex]

Hence, the true statement is (c)

Read more about function transformations at:

https://brainly.com/question/13810353