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Google Classroom Microsoft Teams The parabola \( y=x^{2} \) is scaled vertically by a factor of 7 . What is the equation of the new parabola? \[ y=\square \]

Ask by O'Quinn Johnson. in the United States
Feb 22,2025

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The new equation of the parabola is \( y = 7x² \).

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When you scale the parabola \( y = x^2 \) vertically by a factor of 7, you simply multiply the output of the function by 7. Therefore, the equation of the new parabola becomes \( y = 7x^2 \). This transformation stretches the parabola away from the x-axis, making it narrower and taller compared to the original. So, the final equation of the scaled parabola is: \[ y = 7x^{2} \]

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