Write a quadratic function in vertex form whose graph has the vertex (-2,-4 ) and passes through the point (-1,-6)

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Step-by-step explanation:

The vertex form of a quadratic function is in the form

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where

In this question, the vertex of this quadratic function is at the point . In other words, and . Substitute these value into the general equation:

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Simplify to obtain:

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The only missing piece here is the coefficient . That's likely why the problem gave , yet another point on this quadratic function. If this function indeed contains the point , should be equal to when . That is:

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Solve this equation for :

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Hence the equation of the quadratic function in its vertex form:

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the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.