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The quadratic ax^2+bx+c can be expressed in the form 2(x-4)^2+8. When the quadratic 3ax^2+2bx+c is expressed in the form n(x-h)^2+k, what is h?

 Jun 29, 2022
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Convert vertex form to standard form: 2(x4)2+8=2(x28x+16)+8=2x216x+40

 

This means that a=2b=16, and c=40. So, the quadratic we need to convert to vertex form is 6x232x+40.

 

Note that in vertex form (which we need to convert it to), the vertex occurs at (h,k).

 

This means we need to find the x-coordinate of the vertex, which occurs at b2a=3212=83

 Jun 29, 2022

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