Question

The graph of f(x) = 2x is shown on the grid.

Answer 1

Answer:

  see below

Step-by-step explanation:

Oddly enough, it is the one that with f(x) reflected over the y-axis. All points on the graph are mirrored across that axis (x is changed to -x, y is left alone).

Answer 2

Answer with explanation:

When a graph gets reflected over y-axis it means that a horizontal reflection reflects a graph horizontally over the y-axis.

The graph of $f(x) = 2^x$ is shown on the grid.

The graph of $g(x) = (\dfrac{1}{2})^x$  is the graph of f(x) reflected over the y-axis.

For x= 0 , $g(x) = (\dfrac{1}{2})^0=1$

For x= 1 , $g(x) = (\dfrac{1}{2})^1=\dfrac{1}{2}=0.5$

For x= 2 , $g(x) = (\dfrac{1}{2})^2=\dfrac{1}{4}=0.25$

i.e. graph of g(x) passes through (-1,2) , (0,1) , (1,0.5) , (2,0.25)

From all the given graph , the correct graph is shown below .

It is showing the exact mirror-image of the given graph across y-axis and it is passing through the(-1,2) , (0,1) , (1,0.5) , (2,0.25) .