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The parabola y=x^(2) is shifted up by 4 units. What is the equation of the new parabola? y=

The parabola y=x2 y=x^{2} is shifted up by 44 units.\newlineWhat is the equation of the new parabola?\newliney= y=

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Q. The parabola y=x2 y=x^{2} is shifted up by 44 units.\newlineWhat is the equation of the new parabola?\newliney= y=
  1. Understand Effect of Shift: Understand the effect of shifting a graph vertically.\newlineShifting a graph up or down is equivalent to adding or subtracting a constant from the yy-value of the function.
  2. Apply Vertical Shift: Apply the vertical shift to the original equation.\newlineThe original equation of the parabola is y=x2y = x^2. To shift the graph up by 44 units, we add 44 to the yy-value of the function.\newliney=x2+4y = x^2 + 4
  3. Write Final Equation: Write the final equation of the new parabola.\newlineThe new equation, after shifting the original parabola up by 44 units, is y=x2+4y = x^2 + 4.

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