Answer:
see below
Step-by-step explanation:
We can use the equation
y = -a f(-b (x-h)) +k
The first negative is a reflection about the x axis
a is a horizontal stretch if it is >1 or a compression if less than 1
The negative inside the function is a reflection about the y axis
b is a horizontal compression if >1 or a compression if less than 1
h shifts the function left ( h<0) or right if (h>0)
k shifts the function up if k>0 or down if k <0
4. y = -1/3 | x - 2 | - 4
parent function |x|
reflection about the x axis
1/3 horizontal compression
shift 2 units to the right
4 units down
y = 1 / ( x + 5) - 3
The parent function is 1/x
shift is 5 units to the left and 3 units down
6. (x - 1)^2 + (y + 2)^2 = 4
(x - 1)^2 + (y + 2)^2 = 2^2
This is a circle of radius 2
The center is shifted from the origin 1 unit to the right and 2 units down
