y=|-x|=

1 answer

The equation \( y = |-x| \) represents the absolute value function. The expression \( |-x| \) is equivalent to \( |x| \), since the absolute value removes the negative sign.

Thus, we can rewrite the equation as:

\[ y = |x| \]

This means that \( y \) is the non-negative value of \( x \). The graph of this function is a V-shape opening upwards, with its vertex at the origin (0,0). It consists of two linear segments:

  • For \( x \geq 0 \): \( y = x \)
  • For \( x < 0 \): \( y = -x \)

If you would like to know more about its properties or how to graph it, feel free to ask!