Question
The parabola
\[y=x^2\] is scaled vertically by a factor of
\[\dfrac{1}{10}\].
What is the equation of the new parabola?
\[y=\]
\[y=x^2\] is scaled vertically by a factor of
\[\dfrac{1}{10}\].
What is the equation of the new parabola?
\[y=\]
Answers
GPT-4o mini
When a parabola is scaled vertically by a factor of \(\frac{1}{10}\), it means that the \(y\)-values of the function are multiplied by \(\frac{1}{10}\).
The original equation of the parabola is:
\[
y = x^2
\]
To apply the vertical scaling, we multiply the right side of the equation by \(\frac{1}{10}\):
\[
y = \frac{1}{10} x^2
\]
Thus, the equation of the new parabola after the vertical scaling is:
\[
\boxed{y = \frac{1}{10} x^2}
\]
The original equation of the parabola is:
\[
y = x^2
\]
To apply the vertical scaling, we multiply the right side of the equation by \(\frac{1}{10}\):
\[
y = \frac{1}{10} x^2
\]
Thus, the equation of the new parabola after the vertical scaling is:
\[
\boxed{y = \frac{1}{10} x^2}
\]