Question

6. The function f(x)=2^x is graphed to the right. Sketch a graph of the function g(x)=-3∙2^(x-2)What three transformations were performed on f(x) to generate g(x)?123

Answer 1

The given function is

`f(x)=2^x`

We need to draw the graph of g(x)

`g(x)=-3.2^(x-2)`

The transformations are

i) Reflected across the x-axis

ii) Stretched the graph vertically by a factor of 3

iii) Translated 2 units to the right