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3 years ago

10

Please help!

1 answer:

julsineya [31]3 years ago

7 0

Answer:

A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data. This trend line may show a positive trend or a negative trend.

Step-by-step explanation:

answer above

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3. Find an equation of a parabola with a vertex at the origin and directrix y = -3.5

Lina20 [59]

Answer:

$y=\frac{1}{14}x^2$

Step-by-step explanation:

we know that

The directrix of the parabola is perpendicular to the axis of symmetry of the parabola

In this problem the directrix is y=-3.5

so

The axis of symmetry is parallel to the y-axis

we have a vertical parabola

Also, the vertex is at the origin

That means-----> the parabola open upward

The equation of a vertical parabola can be written as

$x^2=4py$

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In this problem

the distance between the vertex and the directrix is 3.5

$p=3.5$ ----> the value of p is positive because the parabola open upward

substitute

$x^2=4(3.5)y$

$x^2=14y$

isolate the variable y

$y=\frac{1}{14}x^2$

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