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The parabola y=x^(2) is scaled vertically by a factor of (1)/(10). What is the equation of the new parabola? y=

The parabola y=x2 y=x^{2} is scaled vertically by a factor of 110 \frac{1}{10} .\newlineWhat is the equation of the new parabola?\newliney= y=

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Full solution

Q. The parabola y=x2 y=x^{2} is scaled vertically by a factor of 110 \frac{1}{10} .\newlineWhat is the equation of the new parabola?\newliney= y=
  1. Multiply y-value by 11/1010: To scale the parabola y=x2y = x^2 vertically by a factor of 1/101/10, we multiply the output (y-value) of the function by 1/101/10.
  2. Determine new parabola equation: The equation of the original parabola is y=x2y = x^2. Multiplying the yy-value by 110\frac{1}{10} gives us the new equation y=(110)x2y = \left(\frac{1}{10}\right)x^2.
  3. Verify scaling accuracy: We check for any mathematical errors in the scaling process. The scaling factor is correctly applied to the yy-value, and the new equation reflects this vertical scaling.

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