graph the original and inverse.

Question

anonymous · Answer

$$y=2x^{2}$$

anonymous · Answer

$$y=\sqrt{x-2}$$

anonymous · Answer

y=2x+6 over 2

anonymous · Answer

@dpaInc

anonymous · Answer

do you know how to obtain the inverse of these functions?

anonymous · Answer

*analytically?

anonymous · Answer

switch the x and y and solve for y... that'll give you the inverse.  as far as graphing, you'll need to enter that in your graphing calculator....

anonymous · Answer

umm im not sure do you just do the opposite

anonymous · Answer

for example, let's do the second one you have (since it's easy to solve for the inverse)

anonymous · Answer

$\large y=\sqrt{x-2} $

switch the x and y:
$\large x=\sqrt{y-2} $

solve for y.... can you do this for me?

anonymous · Answer

i got x+2=y s

anonymous · Answer

no....

anonymous · Answer

$\large x=\sqrt{y-2} $
$\large (x)^2=(\sqrt{y-2})^2 $   square both sides
$\large x^2=y-2 $     simplify
$\large x^2+2=y-2+2 $    add 2 to both sides
$\large x^2+2=y $      simplify

ok from here?

anonymous · Answer

umm oh my gosh i dont know and after u solve everything then we graph it?

anonymous · Answer

yes... do you have a graphing calculator?

anonymous · Answer

yes but i dont know how to use it lol

anonymous · Answer

here is an excellent online graphing calculator that u can use to graph original: $\large y = \sqrt{x-2} $ inverse: $\large y=x^2+2 $ https://www.desmos.com/calculator go ahead and try....

anonymous · Answer

screen shot of the graphs...