Exponential transformation + key features

If g(x) is a transformation of f(x), describe the transformation.

 $f\left(x\right)=2^x$      $g\left(x\right)=2^x+4$   

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

Tags

CCSS.HSF.BF.B.3

 If g(x) is a transformation of f(x), describe the transformation.

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

Tags

CCSS.HSF.BF.B.3

 If f(x) is a transformation of g(x), describe the transformation.

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  
Be careful!  Pay attention to the order of the functions.

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

Tags

CCSS.HSF.BF.B.3

• Translates left 8 units

• Translates right 8 units

• Translates up 8 units 

• Translates down 8 units

Tags

CCSS.HSF.BF.B.3

• Translated up 5

• Translated down 5

• Reflection over the x-axis

• Reflection over the y-axis

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit
• Horizontal shift right one unit
• Vertical shift up one unit
• Vertical shift down one unit

Tags

CCSS.HSF-IF.C.7E

What transformations have happened to y = 2^x if the new equation is

y = 2^(x+3) -6

• It stayed the same

• up 3, left 6

• right 3, down 6

• left 3, down 6

• Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7 

• Reflection across the asymptote, horizontal shift right 3, vertical shift down 7 

• Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7 

• Stretch by a factor of 3, vertical shift down 7 

Tags

CCSS.HSF.BF.B.3

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B