f(x) = sqrt(a^2 - x^2)

I need to graph it and I know it has something to do with the formula for a circle

r^2 = x^2 + y^2

The origin is at 0, but that's all I know.

Question

f(x) = sqrt(a^2 - x^2)

I need to graph it and I know it has something to do with the formula for a circle

r^2 = x^2 + y^2

The origin is at 0, but that's all I know.

anonymous · Answer

well f(x) = r 
so it looks like they want you to graph a line that reflects what the radius is for each input of x and y

anonymous · Answer

Could you show me the steps please?

anonymous · Answer

well I'm not entirely sure, do they give you any information on what a is supposed to be?

anonymous · Answer

It's going to be a circle with the origin at 0,0

anonymous · Answer

The function isn't a function of a circle because of the sqrt, it is a function of the radii. Sorry, I'm not sure how to actually provide a graph for it.

anonymous · Answer

Alright well thanks for trying :)

asnaseer · Answer

if you re-express the equation as:$$y=\sqrt{a^2-x^2}$$and then square both sides, then you should spot what to do next.

zepdrix · Answer

^ ya do that

One thing to keep in mind is that you'll end up with only a semi-circle (half circle) due to the square root :)

asnaseer · Answer

^^ Good spot @zepdrix - I had totally missed that subtle point. :)