Question

http://prntscr.com/213n4i

Answer 1

\[g(x)=f(x-h)\]
is a function shifted h units horizontally. if h is positive, then it's a shift to the right and if h is negative, it's a shift to the left.

h = the value of x that makes (x-h) = 0

Answer 2

x+3 is the exponent so would the 3 shift 3 up?

Answer 3

no...

let \[f(x) =4\left( 2 \right)^x\text{ then }g(x) = f(x+3)=4\left( 2 \right)^{x+3}\]

Answer 4

so since its in parentheses it wud shift 3 units down?

Answer 5

no, did you read what i wrote first?

Answer 6

o ok it shifts to the right according to what you said right?

Answer 7

what is h?

Answer 8

positive 3

Answer 9

so 3 + 3 = 0?

Answer 10

o no its negative 3

Answer 11

yeah

Answer 12

so what's the shift?

Answer 13

left 3?

Answer 14

yes, good!

Answer 15

ok than you

Answer 16

you're welcome