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2 years ago

Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-6, 1); focus: (-6, 0)

Mathematics

1 answer:

GREYUIT [131]2 years ago

8 0

Answer: $(x+6)^2=-4(y-1)$

Step-by-step explanation:

Given

Vertex of the parabola $(-6,1)$

Focus of the parabola $(-6,0)$

As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of

$(x+6)^2=-4a(y-1)$

distance between Vertex and focus is 1 unit

$\therefore a=1$

Parabola becomes

$\Rightarrow (x+6)^2=-4(y-1)$

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2 years ago

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substitute to the given formula

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Answer:

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Alternative hypothesis: $p \neq 0.16$

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Null hypothesis: $p=0.16$

Alternative hypothesis: $p \neq 0.16$

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