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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 $y=x^{2}$ is scaled vertically by a factor of $\frac{1}{10}$ . $\newline$ What is the equation of the new parabola? $\newline$ $y=$

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Transformations of functions

Full solution

Q. The parabola

y=x^{2}

is scaled vertically by a factor of

\frac{1}{10}

.

\newline

What is the equation of the new parabola?

\newline

y=

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

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