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The shadow cast by a lampshade has a boundary in the shape of a hyperbola defined by the equation StartFraction (y minus 3) squared Over 2 EndFraction minus StartFraction x squared Over 1 EndFraction = 1. What could the center of the hyperbola represent?


the location of the light bulb

the bottom of the lampshade

the top of the lampshade

a vertex of the shadow

Sagot :

Answer:

A THE LOCATION OF THE LIGHT BULB

I got this right on the assignment

Step-by-step explanation:

The centre of the hyperbola represent will represent the location of the light bulb.

What is the centre of a hyperbola?

The centre of a hyperbola is the midpoint of the line segment joining its foci. The transverse axis is the line segment that contains the centre of the hyperbola and whose endpoints are the two vertices of the hyperbola.

As we know that the centre of a hyperbola is the midpoint of the line segment joining its foci. Now, if we plot the hyperbola with equation

[tex]\dfrac{(y-3)^2}{2}-\dfrac{x^2}{1}=1[/tex]

The hyperbola will look like the one given in the below image, further if draw two lines to know the centre of the hyperbola, we will find that the centre of the hyperbola will lie at coordinate (0,3).

Further, the centre of the hyperbola represents the light bulb while the hyperbolas will represent the shadow cast by the lampshade.

Hence, the centre of the hyperbola represent will represent the location of the light bulb.

Learn more about Hyperbola:

https://brainly.com/question/12919612

View image ap8997154
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