Decoding Cartesian Coordinate Graphs: A Visual Understanding

Question

The graph corresponds to

Video Solution

Step-by-Step Solution

To solve this problem, we'll analyze the graph to match it with the provided equations.

  • Step 1: The graph is in a 'V' shape presenting symmetry around the y-axis and has its vertex at the origin.
  • Step 2: The equation that corresponds to this type of graph is the absolute value function y=x y = |x| . Absolute value functions show symmetry around the y-axis and have a vertex where the argument of the absolute value, here xx, equals zero.
  • Step 3: The graph we see perfectly matches an absolute value function, as it does not extend below the x-axis and has the aforementioned symmetrical properties. Therefore, it is represented by the equation y=x y = |x| .

Therefore, the solution to the problem is y=x y = |x| , matching the graph with the choice corresponding to y=x y = |x| .

Answer

y=x y=|x|