## anonymous one year ago The function g(x) is a transformation of f(x)=2^x by reflecting it across the x axis, and translating it 3 units to the right and 2 units up. What represents g(x)?

1. anonymous

@ganeshie8

2. anonymous

@dan815

3. anonymous

@kropot72

4. anonymous

What have you tried so far?

5. anonymous

i don't even know where to start! :(

6. anonymous

Do you know how to reflect it?

7. anonymous

would that just be the opposite signs?

8. anonymous

Yes, -2

9. anonymous

Her it is $$\huge g(x) =\ -2^{\left(x-3\right)}+2\$$ The -2 reflects it and the (x-3) moves it 3 units to the right and the + 2 moves it vertically up 2

10. anonymous

so then wouldn't it be g(x)=-2^(x+3)-2 since its moving to the right three times?

11. anonymous

(x+3) would move it to the left and not the right. It works the opposite as you would think. but not with vertical transitions that is why we use +2 for vertical/ to move up

12. anonymous

oh, okay!

13. anonymous

thank you so much! :)

14. anonymous

YW

15. anonymous

Also, here is it graphed out. https://www.desmos.com/calculator/ewzlnbg6vm