# Graphs of Absolute Value Equations

Graphs of absolute value equations provide a visual representation of mathematical functions that exhibit unique characteristics. Unlike linear equations, which form straight lines, absolute value equations introduce V-shaped graphs with distinct vertex points. These graphs reflect the absolute value function's property of always producing non-negative outputs, resulting in symmetrical patterns around the x-axis. Understanding the behavior of absolute value graphs is essential in various mathematical contexts, including solving inequalities, optimizing functions, and analyzing real-world scenarios. Through careful examination and interpretation of these graphs, mathematicians and students alike can gain valuable insights into the underlying principles of algebraic equations.

- How do you find the vertex, and tell whether the graph #y = 14 - 7/5 abs(x - 7)# is wider or narrower than #y=absx#?
- How do you graph #y=-1/2abs(x+6)#?
- How do you graph #y=abs(x-2)#?
- How do you graph #f(x) =-3abs(x+2)+2#?
- How do you graph # x = | y + 5 | #?
- How do you graph # y - 2 = - | x + 3 | + 1#?
- How do you write #y = -2|x-4|+4# as piecewise functions?
- How do you write #f(x) = |2x+3|# as a piecewise function?
- How do you graph #f(x) = abs(5x-2)#?
- How do you graph # y<|x+2|-2#?
- How do you find the inverse of #f(x) = |x-2|#?
- How do you graph # f(x) = |x| + |x + 2| #?
- How do you graph #y=|-3x|+2#?
- How do you write #y=abs(x+2)# as a piecewise function?
- How do you graph #y = abs(6x)#?
- How do you graph #y = absx + 2#?
- How do you graph and find the vertex for #abs y=x#?
- Can you tell that for example it's an equation #y=2x^2-6x+5# And question is to find the set values of x for which y>13 So in it answers are x<-1 and x>4 How do we know that x is greater or less than -1 or 4 as when we solve it on calculator?
- How do you find the domain and range of #y=4absx#?
- How do you graph #y=abs(x)+5#?