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Alexxandr [17]
3 years ago
13

{(2,9), (2,8), (-3,7), (-3,6)} is what type of relation?

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

OK, the relation. (2,9), (2,8), (-3,7) (-3,6)

Since 2 maps to two values, as does -3,  this relation is not a function.

~~~~~~~~~~~~~

By the way these points, in this slightly different order, 

(2,9), (2,8), (-3,7) (-3,6)

are the vertices of a parallelogram.


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Answer:

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f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}

<u>The vertex is </u><u>(2, 124)</u>

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