Question

When the function y = 2x is changed to y = 2(2^x), the graph is shifted one unit. The direction of the shift is A) down. B) left. C) right. D) up.

Answer 1

Answer:

left

Step-by-step explanation:

for y=2x  red

for y=4x blue

the graphs are both symmetrical about the origin so vertical shifts (up or down) are not possible. But you notice the graph shifts the value of y to the left w.r.t the positive x-axis.  

Answer 2

The direction of the shift is  LEFT

option (B)

Step-by-step explanation:

given :

original function is y=2x

changed function  is  $y = 2 (2^x)$

The graph of  both the functions is shown in the attachment

the graph is shifted 1 unit

from the graph it is concluded that

the direction of the shift is left

hence , The direction of the shift is  LEFT

option (B)

#Learn more :

The function f(x) = x2 is transformed to f(x) = 4(x − 2)2. Which statement describes the effect(s) of the transformation on the graph of the original function?

https://brainly.in/question/9922266