Question

Describe the transformation from f(x) to g(x) f(x) = 5^x , g(x) = -3f(x+4) - 4

Answer 1

The parent function is,

`f(x)=5^x`

The given function is,

`g(x)=-3f(x+4)-4`

As there is f(x+4) hence it will be shifted 4 units towards the left.

As the function f(x+4) is multiplied by 3 it will be stretched 3 times.

As the function 3f(x+4) is multiplied by -1 it will be reflected about the x-axis.

As the -4 is added to the function -3f(x+4), it will be shifted 4 units downward.

Thus, option (A) is the correct solution,