Question

Which phrase best describes the translation from the graph Y equals X + 2 squared to the graph of Y equals X squared + 3?

A. A vertical shift up
B. A vertical shift down
C. A horizontal shift left
D. A horizontal shift right

Answer 1

The translation from Y = X + 2^2 to Y = X^2 + 3 is a vertical shift up.

Step-by-step explanation:

The translation from the graph Y = X + 2^2 to the graph of Y = X^2 + 3 is a vertical shift up. When we compare the two equations, we can see that the only difference is the constant term. In the first equation, the constant term is 2, while in the second equation, it is 3. A vertical shift upward occurs when the constant term is positive, as it moves the entire graph upward by that amount. In this case, the constant term of 3 in the second equation means the graph is shifted up by 3 units compared to the first equation.