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?

Fill in the blank(s) to correctly complete each sentence.

The graph of ƒ(x) = √-x is a reflection of the graph of y = √x across the ___-axis.

Work each matching problem.

Match each equation in Column I with a description of its graph from Column II as it relates to the graph of y = x².

I II

a. y = (x - 7)² A. a translation to the left 7 units

b. y = x² - 7 B. a translation to the right 7 units

c. y = 7x² C. a translation up 7 units

d. y = (x + 7)² D. a translation down 7 units

e. y = x² + 7 E. a vertical stretching by a factor of 7

Given a point $(a,b)$, what are the coordinates of its image after a reflection across the line $y=-x$?

A triangle is rotated $90°$ counterclockwise about the origin. Which rule describes the transformation of a point $(x,y)$?

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