HELP- Graphing (1 Viewer)

[chris_power_96]

Hey,

What happens to the graph when you find f(x^2) of a graph????

 

[asianese]

SQUEEEzzEEEE (toward origin).

Even.

 

[Carrotsticks]

Hey,

What happens to the graph when you find f(x^2) of a graph????

Pick a random X coordinate and square root it. So the point (4,3) now becomes (2,3) and the point (100,6) becomes (10,6) etc.

Also note that it is even, as asianese has said.

We also only take the right hand side of the x axis, and ignore the left since we are squaring the negative values (so they become positive anyway).

 

[braintic]

Also note that a new stationary point is formed at x=0.

 

[seanieg89]

Also note that a new stationary point is formed at x=0.

Not necessarily. Eg



Also functions that aren't continuous at the origin certainly won't be transformed into functions with stationary points at 0.