Question

graph the image of the figure using the transformation given.

1. rotation 90° counterclockwise about the origin
2. translation: 4 units right and 1 unit down
3. translation: 1 unit right and 1 unit up
4. reflection across the x - axis

write a rule to describe each transformation.
5)
6)

Explanation:

Step1: Recall transformation rules

For 90° counter - clockwise rotation about origin: $(x,y)\to(-y,x)$. For translation $(a,b)$: $(x,y)\to(x + a,y + b)$. For reflection across x - axis: $(x,y)\to(x,-y)$.

Step2: Apply rules to vertices

Find new coordinates of each figure's vertices using above rules.

Answer:

1. $(x,y)\to(-y,x)$; 2. $(x,y)\to(x + 4,y-1)$; 3. $(x,y)\to(x + 1,y + 1)$; 4. $(x,y)\to(x,-y)$; 5 - 6. Need figure vertices to write rules precisely.