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kupik [55]
3 years ago
11

Help please Introduction to statistics: mastery test

Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer:

Nonstatistical= HOW MANY ORANGES DID SALLY AT LAST MONTH, HOW MANY HOURS DID I SPEND ON EXTRA CIRICULA...,  and HOW MANY DOGS DO I HAVE

Statistical: The other ones.

Step-by-step explanation: Please Tell me if it was Wrong.

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Answer:

(x-3)^2=8(y+1)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0

\textsf{Vertex}=(h, k)

\textsf{Focus}=(h,k+p)

\textsf{Directrix}:y=(k-p)

\textsf{Axis of symmetry}:h=k

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

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Therefore:

  • h = 3
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Use the Directrix equation to find p

⇒ y = (k - p)

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Therefore the equation of the conic section is:

\implies (x-3)^2=4\cdot 2(y-(-1))

\implies (x-3)^2=8(y+1)

Rearranging in standard form ax^2+bx+c:

\implies (x-3)^2=8y+8

\implies x^2-6x+9-8=8y

\implies x^2-6x+1=8y

\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}

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