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Write an equation for a function that has a graph with the given characteristics.

The shape of y= |x| that has been shrunk vertically by a factor of 2/9.

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User MCMatan
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1 Answer

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The absolute value function y = |x| looks like a "V" shape, with the vertex at the origin and the arms going off to positive and negative infinity. To shrink this function vertically by a factor of 2/9, we can multiply the entire function by 2/9:

y = (2/9)|x|



This new function has the same "V" shape, but the y-values are only two-ninths as large as they would be for the original function at any given value of x. The vertex of the new function is still at the origin, and the arms still go off to positive and negative infinity.

User Dhirendra
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