Question:

What is the equation of the new parabola created by shifting \( y = x^2 \), three units in the positive y-axis direction?

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To shift a graph vertically, add or subtract from the equation. A positive number shifts the graph up.
Updated On: Sep 30, 2025
  • \( y = (x + 3)^2 \)
  • \( y = x^2 \)
  • \( y = x^2 + 3 \)
  • \( 3y = x^2 \)
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The Correct Option is C

Solution and Explanation

Step 1: Shift the equation.
To shift the parabola \( y = x^2 \) three units in the positive y-axis direction, we simply add 3 to the equation.
Step 2: Conclusion.
Thus, the new equation is \( y = x^2 + 3 \).
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