2.4 Exponential Function Manipulation

$$f\left(x\right)=5^{x-8}$$

$$f\left(x\right)=5^{x+8}$$

$$f\left(x\right)=5^x-8$$

$$f\left(x\right)=5^x+8$$

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is horizontally shrunk by a factor of $$\frac{1}{3}$$

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is horizontally stretched by a factor of $$3$$

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is vertically stretched by a factor of 3

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is vertically shrunk by a factor of $$\frac{1}{3}$$

$$x^{15}$$

$$x^{10}$$

$$x^{12}$$

$$x^7$$

$$k\left(x\right)=\frac{4}{9}\left(3\right)^x$$

$$k\left(x\right)=\frac{9}{4}\left(3\right)^x$$

$$k\left(x\right)=36\left(3\right)^x$$

$$k\left(x\right)=4\left(\frac{1}{3}\right)^{-x}$$

$$f(x)=4\left(3\right)^x$$

$$f(x)=2\left(3\right)^x$$

$$f(x)=2\left(9\right)^x$$

$$f(x)=4\left(9\right)^x$$