MYP Extended Mathematics Vertical Translation Questionbank

Which of the following describes the vertical translation applied to the function $y = (x+1)^2$ to obtain the graph of $y = x^2 + 2x + 5$?

True or False: If $f(x)$ is a linear function with equation $y = mx + c$ (where $m \neq 0$), then for any vertical translation , the graph of will be parallel to and never intersect the graph of .

If the graph of ${y = f(x)}$ is translated vertically by ${k}$ units such that the resulting graph is identical to the original graph (i.e., ${f(x) + k = f(x)}$ for all ), what must be the value of ?

The quadratic function ${f(x) = x^2 - 4x + 1}$ is translated vertically upwards by ${2}$ units to form the function . What are the coordinates of the vertex of the graph of ?

True or False: Based on the vertex form $y = a(x-h)^2 + k$, the value of directly represents the vertical translation of the parent function .