MYP Extended Mathematics Topic 2 Function…

True or False: For the function $f(x) = x^3$ , the transformation $y = -f(x)$ results in the same graph as $y = f(-x)$ .

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

A function $f(x)$ is defined by the set of points:

\{(-4,-5), (1,-1), (5,3)\}

If , which of the following represents the transformed set of points on the graph of ?

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

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 ${x}$ ), what must be the value of ${k}$ ?

{(-2,-5), (0.5,-1), (2.5,3)}

{(-4,-2.5), (1,-0.5), (5,1.5)}

{(-4,-10), (1,-2), (5,6)}

{(-8,-5), (2,-1), (10,3)}

MYP Extended Mathematics 2 Function Transformations Questionbank

MYP Extended Mathematics 2 Function Transformations Questionbank

MYP Extended Mathematics 2 Function Transformations Questionbank

MYP Extended Mathematics 2 Function Transformations Questionbank

MYP MYP Extended Mathematics Topic 2 Function Transformations Questionbank