## anonymous one year ago I need help translating graphs.

1. anonymous

try using this website type the first equation on line on look at it type the seccond equation on line two and see how it changedv https://www.desmos.com/calculator

2. anonymous

it will graph it for you

3. anonymous

I found that website but I guess it shifts down or right if you tilt your head to the left lol idk

4. anonymous

lol ill try typing it in

5. anonymous

is five on the top then or is it on its owm because you put that ^ so im not sure

6. anonymous

the 5's are seperate from /2s

7. anonymous

and the -3 in the first one is on it's own too

8. Michele_Laino

hint: if we set x=0, into this equation: y= -1/2(5)^x -3 what do we get?

9. Michele_Laino

|dw:1440171681195:dw|

10. anonymous

so like y=-1/2(5)^0 -3 @Michele_Laino

11. anonymous

oh I see your graph now

12. anonymous

so it has to be reflected across y-axix 3 units to the right? @Michele_Laino

13. anonymous

*axis

14. Michele_Laino

your graph is reflected with respect to the x-axis, and since: y= -1/2(5)^x -3= -4 when x=0, then we have: |dw:1440171970254:dw|

15. anonymous

okay so x-axis I see.

16. Michele_Laino

sorry I have made an error: here is the right graph: |dw:1440172177891:dw|

17. Michele_Laino

since: at x=0, we have: $y = - \frac{1}{2}{5^0} - 3 = - \frac{1}{2} - 3 = - \frac{7}{2}$

18. anonymous

okay so I'm not sure how to tell if it goes down or right now, I think I was wrong

19. Michele_Laino

as you can see, the shifting was down with respect to the graph of the function: y=(1/2)5^x

20. Michele_Laino

nevertheless that shifting was about $\frac{1}{2} - \left( { - \frac{7}{2}} \right) = \frac{1}{2} + \frac{7}{2} = \frac{8}{2} = 4$ units, with respect to the graph of: y=(1/2)5^x

21. anonymous

yeah okay I see that it's down x-axis reflected 3 units down. I'm going to have to go back and reread all that you typed. I super super appreciate all that work from you. You rock merci beaucoup!

22. Michele_Laino

:)