Which of the following is the correct mapping rule for a $180°$ rotation about the origin in the coordinate plane?

If the graph of $y=\sin \left(x\right)$ is transformed to $y=3\sin \left(x\right)$, what is the scale factor of the dilation?

Given the function $f\left(x\right)$ and its image $g\left(x\right)$ where $g\left(x\right)=f(x-2)$, which transformation maps the pre-image to the image?

Suppose point D has coordinates $(x,y)$. After a translation by $(3,-2)$, what is the new y-coordinate of point D?

If a transformation moves a figure to the right on the coordinate plane, what type of translation is this?

Which of the following transformations appears to be a translation of the graph of $y=\sin \left(x\right)$?

Given triangle $△\mathrm{QRS}$ is mapped onto triangle $△Q^{\text{'}}{R}^{\text{'}}{S}^{\text{'}}$, which type of transformation could map $△\mathrm{QRS}$ to $△Q^{\text{'}}{R}^{\text{'}}{S}^{\text{'}}$?

Which set of transformations is needed to graph $f\left(x\right)=-2\sin \left(x\right)+3$ from the parent sine function?

Given the point $A(5,2)$, what are the coordinates of $A\text{'}$ after reflecting across the line $x=3$?