Graphing functions.

[Hollis]

Describe how f(x) changes when the coefficient "a" is negative for g(x)=af(x).
(Explore more than one function before you make a conjecture. Be as accurate as possible with your description. More than one type of change may take place.)

I don't really understand the problem. Am I supposed to put numbers in for A and X?

 

[Hollis]

Is it just the the graphed it flipped upside down? That's what happened when I graphed it.

 

[Aladdin]

"" Explore more than one function before you make a conjecture "" - Did you just guessed or did you applied it graphically ?

If I was your place - 1) Let f(x) be x^2 & g(x) = x^2 ... Let a= -1 , the relations gives us g(x) = -1(f(x))
So -f(x) = -x^2
2) Draw each function by it's self and notice the difference.

Try several functions before you decide .

 

[mmm4444bot]

Is it just [that] the [graph] [is] flipped upside down?

That's a good observation, but there's a better way to state it.

What part does the horizontal axis play, in all of this ?