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The parabola y=x2y=x^2 is scaled vertically by a factor of 77. What is the equation of the new parabola?

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Full solution

Q. The parabola y=x2y=x^2 is scaled vertically by a factor of 77. What is the equation of the new parabola?
  1. Multiply by Scaling Factor: To scale a parabola vertically by a factor, we multiply the output ( extit{y}-value) by that factor. The original equation of the parabola is y=x2y = x^2.
  2. Calculate New Equation: Multiply the original equation y=x2y = x^2 by the scaling factor of 77 to get the new equation. This gives us y=7×x2y = 7 \times x^2.
  3. Simplify if Necessary: Simplify the equation if necessary. In this case, the equation y=7×x2y = 7 \times x^2 is already simplified.

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