AM I right here?: Describe how to transform the graph of f into the graph of g.

f(x) = x^4 and g(x) = -x^4

- I think the answer is
Reflect the graph of f across the y-axis.

Question

AM I right here?: Describe how to transform the graph of f into the graph of g.

f(x) = x^4 and g(x) = -x^4

- I think the answer is 
 Reflect the graph of f across the y-axis.

iwanttogotostanford · Answer

@calculusxy @phi @YoungStudier @retirEEd

satellite73 · Answer

$(1,1)$ is on the first graph the second has $(1,-1)$ 
$(216)$ on the first , $(2,-16)$ on the second

satellite73 · Answer

oops i meant $(2,16)$ on the first, $(2,-16)$ on the second

mathmale · Answer

Try graphing the simpler function y=x^2.  Then, graph h=-x^2.  How does the graph of y become the graph of h?

iwanttogotostanford · Answer

but was I right in thinking that it flips over y axis? Im guessing no..?

satellite73 · Answer

no

mathmate · Answer

If you follow @mathmale 's advice, you will find the answer very quickly.

iwanttogotostanford · Answer

oh ok I did it and i figured i have to flip across the X AXIS not y

satellite73 · Answer

in fact $y=x^4$ is symmetric with respect to the y axis, so if you flip it about the y axis nothing changes

satellite73 · Answer

yes

iwanttogotostanford · Answer

thank you! That was easy.

mathmale · Answer

So, if you rotate the graph of x^2 about the x-axis, you obtain the graph of -x^2. 

Now, how would you answer the problem you initially posted?

satellite73 · Answer

what was up is now down since it has a minus sign in front 
that is always true of $y=-f(x)$ compared to $y=f(x)$