Questions: What function is graphed below?

What function is graphed below?
Transcript text: What function is graphed below?
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Solution

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Solution Steps

Step 1: Identify the Shape of the Graph

The graph is a parabola that opens downward.

Step 2: Determine the General Form of the Function

A downward-opening parabola is represented by a quadratic function with a negative leading coefficient, i.e., \( y = -x^2 \).

Step 3: Verify the Function

Check the given options and match the function:

  • \( y = -x^2 \)
  • \( y = x^2 \)
  • \( y = x^3 \)
  • \( y = -x^3 \)

The correct function is \( y = -x^2 \).

Final Answer

\( y = -x^2 \)

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