Which equation will produce the narrowest parabola when graphed?
A.) y = 3x² B.) y = 0.75x² C.) y = 6x² D.) y = 0.75x²
A parabola is stretched away from the xaxis, thus making it more narrow, by multiplying the yvalue by a number greater than 1. On the other hand, a parabola is compressed toward the xaxis, thus making it wider, by multiplying the yvalue by a number between 0 and 1.
Also, to reflect a graph over the xaxis, simply take the negative of the yvalue. Think about the parent function for quadratics, which is y = x².  If you were to multiply the y value, which is x², by say 6. This would make the new parabola (y = 6x²) more narrow than the parent function. Then if you desired to reflect that graph over the xaxis, it would be written as y = 6x². To clarify from the answer choices above, the choice which contains the highest absolute value regarding the coefficient of x², would in fact be the narrowest. C.) y = 6x² Ask Algebra House Comments are closed.

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