Decoding Cartesian Coordinate Graphs: A Visual Understanding

Name: Video Solution: Decoding Cartesian Coordinate Graphs: A Visual Understanding
Description: Step-by-step video solution

The graph corresponds to

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The graph corresponds to

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 $y = |x|$ . Absolute value functions show symmetry around the y-axis and have a vertex where the argument of the absolute value, here $x$ , 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 $y = |x|$ .

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

$y=|x|$

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$\left|x\right|=3$

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