Transformations of Trigonometric Functions

A

B

h

k

A

B

h

k

x = 7

y = 7

x = 1

y = 4

$$right\ \frac{\pi}{2}$$  

$$left\ \frac{\pi}{2}$$  

$$up\ \frac{\pi}{2}$$  

$$down\ \frac{\pi}{2}$$  

$$\frac{2}{3}$$  

2

$$\frac{2}{3}\pi$$  

$$3\pi$$  

down 4

up 4

right $$\frac{\pi}{3}$$  

left $$\frac{\pi}{3}$$  

g(x) is f(x) reflected over ​x-axis, vertically stretched​ by a factor of

​ 3/5 , horizontally compressed by a factor of ​1/2, shifted $$\pi$$ units left and shifted 2 units up.

g(x) is f(x) reflected over ​x-axis, vertically compressed​ by a factor of

​ 5/3 , horizontally compressed by a factor of ​2, and shifted 2units down.

g(x) is f(x) reflected over ​x-axis, vertically stretched​ by a factor of

​ 5/3 , horizontally compressed by a factor of ​1/2, and shifted $$\pi$$ units left and 2 units down.

g(x) is f(x) reflected over ​x-axis, vertically stretched​ by a factor of

​ 5/3 , horizontally compressed by a factor of ​1/2, and shifted $$\pi$$ units right and 2 units up..

point

vertical asymptote

horizontal asymptote

blank

vertical stretch/compression

horizontal translation

vertical translation

reflection