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The parabola

\[y=x^2\] is scaled vertically by a factor of
\[7\].
What is the equation of the new parabola?
\[y=\]

1 answer

When the parabola \( y = x^2 \) is scaled vertically by a factor of \( 7 \), the equation is modified by multiplying the output \( y \) by \( 7 \).

The new equation becomes: \[ y = 7 \cdot x^2 \]

Thus, the equation of the new parabola is: \[ y = 7x^2 \]