Graphing Rules
Starting point when graphing absolute value linear equations
(0,0)
the vertex of the parent function with slope of 1
| a + 3 | = 5
What is a = -8 and a = 2
What is the Vertex of y = | a + 3 |
(-3,0)
|5 + 5n| > 55
What is x > 10 or x <-12
Shifts the graph to the right
|x-h|
-h
the negative number inside the absolute value
5-8| -2k | = -75
What is k = -5 and k = 5
What is the Vertex of y = 2| a - 1 | + 5
(1,5)
Shifts the graph up
k
the positive number outside (to the right) of the absolute value
|7n+4|/8 = 3
What is n = 20/7 and n = -4
Name the dilation of the graph y = -| a | + 4 and state whether it has a reflection.
No Dilation b/c it's 1 and yes there is a reflection.
Write the equation for the following: shifts up 3, left 6 and has a reflected stretch of 1/2
y=-1/2|x+6|+3
3|-8m| +8= 80
What is m = -3 and m = 3
List the transformations of y = 2| a -5 |-4
Dilation of 2, right 5, down 4
definition of absolute value
Distance from any number to zero.
|-4+5x| = 16
4, -12/5
What is the Vertex of y = | 3a + 3 | -3
(-1,-3)