Graphing question plox (1 Viewer)

[Existential]

When graphing the function

2 . root (25-x^2)

what effect does the 2 have?

if you'll be kind enough to give me a sketch i would appreciate it, but advice is just fine too.

 

[SpiralFlex]

That is an upper semi circle with a radius of 5. (Original graph)

The "2" stretches it vertically by a factor of 2. So the graph's is 10 units up and a 5 units to the left and right.

Sorry if I cannot explain it well enough. Just draw the original graph, and take the point (0,5) and transform it to (0,10). (stretched by a factor of 2)

 

[Existential]

ok, i interpret what you've told me that this "semi-circle" has domain -5 to 5 and range 0 to 10. thankyou.

 

[SpiralFlex]

Yes.

 

[benji_10]

Is that an ellipse?
Since it's stretched out.

 

[SpiralFlex]

Half of it since it is focused on the positive side.

 

[benji_10]

Lol so Existential has been unwittingly trying to plot a graph that was designed for a 4U course?
Cause ellipses are a part of conics.

 

[SpiralFlex]

Well, this is graph transformations, from a given graph.