Absolute Value Euqations

Standard Form:
y = a|x – h|+ k

Parent Function:
y=|x|

y=a|x| (y=2|x|) Horizontal stretch by +2

y=a|x-h| (y=2|x-2|) Horizontal stretch by +2 and Horizontal shift +2

Systems of Equations

What are the types of Equation Systems?

Inconsistent - No solutions

Same slope, different y intercepts the lines are parallel

Consistent and Dependent - All Numbers (infinitely many)

Same slope, same y intercept

SAME LINE

Consistent and Independent - 1 solution (x, y)

different slopes