Question

What is the Graph of the absolute value Equation? y = | x - 5 | - 4

can someone show me how to do this because i'm getting lost

Answer 1

See below.

Explanation:

The graph of |x| is shaped like a V with the vertex at (0, 0). Note the vertical lines mean 'absolute value' so all values of the function are positive.

|x - 5| is the same V but translated 5 units in the positive x direction. Finally the - 4 translates the whole graph vertically downwards so the vertex is at the point (5, -4).