Question

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)?

Answer 1

@ganeshie8

Answer 2

@dan815

Answer 3

@kropot72

Answer 4

What have you tried so far?

Answer 5

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

Answer 6

Do you know how to reflect it?

Answer 7

would that just be the opposite signs?

Answer 8

Yes, -2

Answer 9

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

Answer 10

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

Answer 11

(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

Answer 12

oh, okay!

Answer 13

thank you so much! :)

Answer 14

YW

Answer 15

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