Question

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

A.)2 units left and 3 units up

B.)2 units left and 3 units down

C.)2 units right and 3 units up

D.)2 units right and 3 units down

Answer 1

C looks like the right answer

Answer 2

1. Consider the transformation that maps the graph of the function
`y=(x+2)^2` into the graph of the function
`y=x^2.` This transmormation has a rule:

(x,y)→(x+2,y)

that is translation 2 units to the right.

2. Consider the transformation that maps the graph of the function
`y=x^2` into the graph of the function
`y=x^2+3.` This transformation has a rule:

(x,y)→(x,y+3)

that is translation 3 units up.

Answer: correct choice is C.