What is the equation for the hyperbola shown?

ANSWER

EXPLANATION

The given hyperbola has a vertical transverse axis and its center is at the origin.

The standard equation of such a parabola is:

Where 2a=10 is the length of the transverse axis and 2b=16 is the length of the conjugate axis.

This implies that

Hence the required equation of the hyperbola is:

This simplifies to,

Step-by-step explanation:

We have been given an image of a hyperbola. We are asked to write an equation for our given hyperbola.

We can see that our given hyperbola is a vertical hyperbola as it opens upwards and downwards.

We know that equation of a vertical hyperbola is in form , where, represents center of hyperbola.

'a' is vertex of hyperbola and 'b' is co-vertex.

We can see that center of parabola is at origin (0,0).

We can see that vertex of parabola is at point , so value of a is 5.

We can see that co-vertex of parabola is at point , so value of b is 8.

Therefore, our required equation would be .

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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answer: it's upside down and i can't read it

step-by-step explanation: