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20.11.2020 •
Mathematics
The shape of an underground pool follows a parabola with the function LaTeX: f\left(x\right)=x^2+8xf ( x ) = x 2 + 8 x. What point represents the bottom of the pool? Group of answer choices
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Ответ:
The point that represents the bottom of the pool is
.
Step-by-step explanation:
Given that the shape of the underground pool is a parabola, that is, a second order polynomial. Then, the point that represents the bottom of the pool is the vertex, which is contained in the standard form of the parabola. That is:
Where:
The parabola is represented by
and we proceed to transform into the desired form:
1)
Given.
2)
Modulative property/Existence of the additive inverse.
3)
Compatibility with the addition/Modulative property/Existence of the additive inverse/Perfect square trinomial.
4)
Notation/Result.
Hence, the point that represents the bottom of the pool is
.
Ответ: