Question

Let f(x)=4^x. The new function g(x)=f(x-1)+3 represents transformations that were made to function f. Type the new equation for g. g(x)=___
Describe the two types of transformations that occur between function f and function g. (use words like up, down, left, right, compression or stretch in your answer.)

Answer 1

Answer:

g(x)= $4^{x+1}+3$

Answer 2

Answer:

g(x) = $4^{(x-1)}+3$

Step-by-step explanation:

Given exponential function is,

f(x) = $4^{x}$

If the given function is shifted 1 unit to the right,

h(x) = f(x - 1)

      = $4^{(x-1)}$

If the function 'h' is shifted 3 units up,

g(x) = h(x) + 3

      = $4^{(x-1)}+3$

Therefore, transformed function will be,

g(x) = $4^{(x-1)}+3$