Question
The parabola
\[y=x^2\] is scaled vertically by a factor of
\[\dfrac{2}3\].
What is the equation of the new parabola?
\[y=\]
\[y=x^2\] is scaled vertically by a factor of
\[\dfrac{2}3\].
What is the equation of the new parabola?
\[y=\]
Answers
GPT-4o mini
To scale the parabola \( y = x^2 \) vertically by a factor of \( \frac{2}{3} \), we need to multiply the entire equation by this factor.
Starting with the original equation:
\[
y = x^2
\]
We multiply the right-hand side by \( \frac{2}{3} \):
\[
y = \frac{2}{3} x^2
\]
Thus, the equation of the new parabola is:
\[
y = \frac{2}{3} x^2
\]
Starting with the original equation:
\[
y = x^2
\]
We multiply the right-hand side by \( \frac{2}{3} \):
\[
y = \frac{2}{3} x^2
\]
Thus, the equation of the new parabola is:
\[
y = \frac{2}{3} x^2
\]