Question

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
2 units right and 3 units up
2 units right and 3 units down

Answer 1

2 units right and 3 units up.

Reason: y = (x+2)^2 is the graph of y = x^2 shifted 2 units left. To get y = x^2 + 3 you shift that left-shifted graph 2 units right (back to x^2) and then 3 units up.