What phytagorean triple could be generated using x=8 and y=3?

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Ответ:

missdee7623

26.02.2020

Mathematics

ANSWER

${(x + 1)}^{2} =12(y - 2)$

EXPLANATION

The original parabola has equation

${x}^{2} = 12y$

This parabola has its vertex at the origin:

If the parabola is shifted one unit left and two units up, then its new vertex is at (-1,2).

The equation of the new parabola is now of the form:

${(x - h)}^{2} =1 2(y - k)$

where (h,k) is the vertex.

Substitute the vertex to get:

${(x - - 1)}^{2} =12(y - 2)$

${(x + 1)}^{2} =12(y - 2)$

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