1. Graphing Absolute Value Equations in two variables
y=a|bx + c| + d

2. y = x x
- 5
- 2 2 5 y
Vertex
Axis of symmetry x
- 5
- 2 2 5 y
y = |x|

3. x y Process y = |x – 4| Draw a blank table of values vertex 4 5 7 1 31 3
Determine the x value of vertex
set |bx + c|, bx + c = 0 and solve
plot the points
x – 4 = 0
x = 4
use symmetry to plot points on opposite side of vertex
evaluate expression for y at vertex
y = |(4) – 4| = 0
draw graph
choose two x values on one side of vertex
y =|(5) – 4| = 1
evaluate expression for y at each x value
y = |(7) – 4| = 3

4. The values x and y vary directly and one pair of values for x and y are given. Write an equation that relates the variables.
x = 7, y = b. x = ½ , y = 6
c. x = -15, y = 5 d. x = 0.3 , y = 0.4
105/29 – 34