Sketch a graph of q as a function of p (i.e., q(p)), assuming that the focal length is a constant of
5 centimeters. Show any important features of the graph.

Question

Sketch a graph of q as a function of p (i.e., q(p)), assuming that the focal length is a constant of 
5 centimeters. Show any important features of the graph.

nathanjhw · Answer

https://s.yimg.com/hd/answers/i/e2ec1505cc264dfdb7f4475275e6fc4d_A.jpeg?a=answers&mr=0&x=1415069689&s=2ea3245c8f57e9fa27a01c8804eb2f40

nathanjhw · Answer

@freckles

freckles · Answer

Is there no sorta of equation given?

nathanjhw · Answer

1/p +1/q=1/f

nathanjhw · Answer

@freckles

freckles · Answer

oh okay so i think f represents your focal constant
so replace f with 5 
then solve 1/p+1/q=1/5 for q

nathanjhw · Answer

p=35/2

nathanjhw · Answer

q=5p/(p-5)

freckles · Answer

that bottom this is q written as a function of p with the focal constant as 5

nathanjhw · Answer

yes

nathanjhw · Answer

I had to solve this for another part of the question, I just don't know how to graph it now.

freckles · Answer

$$q=\frac{5p}{p-5}=\frac{5(p-5)+25}{p-5}=\frac{25}{p-5}+5$$

freckles · Answer

this should tell you the horizontal aysmotote and vertical asymptote?

freckles · Answer

no ? at the end

freckles · Answer

lol

freckles · Answer

you could think about the graph of y=1/x and translate it around to get the graph of y=1/(p-5)+5

nathanjhw · Answer

So that is how you get the vertical and horizontal asymptotes but what about the rest of the graph?

freckles · Answer

do you know what y=1/x looks like?

nathanjhw · Answer

yes

freckles · Answer

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