The point (3,27) is on the function f(x)=3x. Determine its image point on the transfo

[MaddieS]

The point (3,27) is on the function f(x)=3x. Determine its image point on the transformed function g(x)=0.4(3)2x-6-11. (The 2x-6 is exponential, the computer would not allow me to show this.)

 

[MaddieS]

The point (3,27) is on the function f(x)=3x. Determine its image point on the transformed function g(x)=0.4(3)2x-6-11. (The 2x-6 is exponential, the computer would not allow me to show this.)

 

[stapel]

(The 2x-6 is exponential, the computer would not allow me to show this.)

Your computer isn't allowing you to type the "carat" (that is, the shift-6 character)? Then get a new keyboard! :razz:

The point (3,27) is on the function f(x)=3x. Determine its image point on the transformed function g(x)=0.4(3)2x-6-11.

So the transformation of f(x) is g(x) = 0.4*3^(2x-6) - 11. Since f(x), as currently posted, is just a linear function, then g(x) cannot be its transformation. Did you perhaps mean that f(x) was 3^x? If so, then apply the rules they gave you to figure out how the function has been transformed. (here) Which changes happened outside of the function? Which ones occurred inside the function? What do these changes mean? And so forth.

If you get stuck, please reply showing your thoughts and efforts so far. Thank you!