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The parabola 
y=x^(2) is scaled vertically by a factor of 7 .
What is the equation of the new parabola?

y=

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

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?\newliney=y=
  1. Scaling the Function: To scale a function vertically by a factor, we multiply the output of the function by that factor. In this case, we want to scale the parabola y=x2y = x^2 by a factor of 77. This means we will multiply the right-hand side of the equation by 77.
  2. Multiplying the Equation: The new equation of the parabola after scaling will be y=7x2y = 7 \cdot x^2. This is because each yy value of the original parabola is multiplied by 77, which stretches the graph vertically by a factor of 77.

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