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March 28, 2024, 10:15:41 pm

Author Topic: How to find three unknowns? Math Methods units 1&2  (Read 438 times)  Share 

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Rose34

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How to find three unknowns? Math Methods units 1&2
« on: March 09, 2020, 03:38:01 pm »
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 Can someone please help me I have no idea how to start.

A rectangular hyperbola with rule of the form y = a/x−h + k has vertical asymptote x = 2, horizontal asymptote y = −4 and passes through the point (0,4). Find the values of a, h and k.

Thanks in advance!

colline

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Re: How to find three unknowns? Math Methods units 1&2
« Reply #1 on: March 09, 2020, 04:34:19 pm »
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Hey!

With this type of question the best approach is to draw what the graph would look like without any transformations, in this case y=1/x, which would have asymptotes at y=0 and x=0.

As this graph has asymptotes x=2 and y=-4, this tells you that h=2 and k=-4.

Finally, use y = a/x−h + k when h=2, k=-4, y=4, and x=0 to find what 'a' would be.

Let me know if you have any questions! :)

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