S22 Exponential transformations

The graph

 $g\left(x\right)=2^{\left(x-3\right)}$ is shown, which statement best describes the transformation from the parent graph  $f\left(x\right)=2^x$ .

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

Which graph best represents

 $y=2^x-4$  

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Tags

CCSS.HSF-IF.C.7E

Which of the following is NOT a transformation of the equation

 $f\left(x\right)=3\cdot2^{\left(x-3\right)}+3$  

• Shift horizontally left 3 units

• Shift vertically up 3 units

• Shift horizontally right 3 units

• Vertically stretched by a factor of 3

Is the following equation an exponential growth or decay?

 $f\left(x\right)=2\left(\frac{1}{2}\right)^x$  

• Exponential Growth

• Exponential Decay

Is the following equation an exponential growth or decay?

 $f\left(x\right)=\frac{1}{2}\left(3\right)^x$  

• Exponential Growth

• Exponential Decay

Which of the following function best represents this graph?

• $g\left(x\right)=2^x+2$

• $k\left(x\right)=-2^x+2$

• $m\left(x\right)=-2^x-2$

• $f\left(x\right)=0.5^x+2$

Which of the following function best represents this graph?

• $g\left(x\right)=3\cdot2^x+1$

• $k\left(x\right)=3\cdot2^{\left(x-1\right)}$

• $m\left(x\right)=3\left(\frac{1}{2}\right)^{\left(x-1\right)}$

• $f\left(x\right)=3\left(\frac{1}{2}\right)^x+1$

What transformation occurs from

 $y=2^x$  to  $y=-1\cdot2^x$  

• Reflection over the x-axis

• Reflection over the y-axis

• Vertically shift down 1 units

• Changes from growth to decay

Which of the following describes the transformation of  $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$  from the parent graph  $g\left(x\right)=2^x$  

• Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

What is the equation for the asymptote for the graph of  $f\left(x\right)=2^{\left(x-3\right)}$  ?

•  $x=0$  

•  $y=0$  

•  $x=3$  

•  $y=2$