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The parabola 
y=x^(2) is scaled vertically by a factor of 
(2)/(3).
What is the equation of the new parabola?

y=

The parabola y=x2 y=x^{2} is scaled vertically by a factor of 23 \frac{2}{3} .\newlineWhat is the equation of the new parabola?\newliney= y=

Full solution

Q. The parabola y=x2 y=x^{2} is scaled vertically by a factor of 23 \frac{2}{3} .\newlineWhat is the equation of the new parabola?\newliney= y=
  1. Scaling the Parabola: To scale the parabola y=x2y = x^2 vertically by a factor of 23\frac{2}{3}, we multiply the output (yy-value) of the function by 23\frac{2}{3}. This means that every yy-value of the original parabola will be multiplied by 23\frac{2}{3} to get the new yy-value of the scaled parabola.
  2. Multiplying the Y-Values: The equation of the original parabola is y=x2y = x^2. To scale it vertically by a factor of 23\frac{2}{3}, we apply the scaling factor to the y-value. The new equation becomes y=(23)x2y = \left(\frac{2}{3}\right)x^2.

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