Question

What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?

Answer 1

Try sketching a graph of 3(2)^x, and see what is different about it

Answer 2

f(x)-2? is that the answer

Answer 3

or f(x-2)

Answer 4

@Lord_Box

Answer 5

What do you notice that's different about it?

Answer 6

it shifted down 2

Answer 7

so i dont get if it would be f(x)-2 or f(x-2)

Answer 8

could you explain? @Lord_Box

Answer 9

@TheSmartOne

Answer 10

Think about the form of the equation y = 3(2)^x, when the graph shifts down by two, which value, y or x goes down by two?

Answer 11

y

Answer 12

f(x+2) means it will shift 2 to the left
f(x -2) means it will shift 2 to the right
f(x)-2 means it will shift 2 down
f(x)+2 means it will shift 2 up

Answer 13

You can see the graph of f(x) = 3(2)^x here https://www.desmos.com/calculator/fugzipnvyx

and compare it to the graph in your question (: