Exponential and Logarithmic Transformations

Compare $g\left(x\right)=3^x-4$  with the basic function  $f\left(x\right)=3^x$  .

• g(x) is shifted 4 units up

• g(x) is shifted 4 units to the left

• g(x) is shifted 4 units to the right

• g(x) is shifted 4 units down

Tags

CCSS.HSF.BF.B.3

Describe the transformations of $f\left(x\right)=-\log_2\left(x+1\right)$ 

• left one & y-axis reflection

• right one & y-axis reflection

• left one & x-axis reflection

• right one & x-axis reflection

What are the transformations of the function $f\left(x\right)=\log_4\left(x-1\right)+5$  ?

• Translation to the Right 1 and Up 5

• Translation to the Right 1 and Down 5

• Translation to the Left 1 and Up 5

• Translation to the Left 1 and Down 5

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 occur in the function  $f\left(x\right)=5^{\left(x-3\right)}+2$  ?

• Translation to the right 3 and up 2

• Translation to the left 3 and up 2

• Translation to the left 3 and down 2

• Translation to the right 3 and down 2

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• reflection across bacchi

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

What kind of transformation is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

Tags

CCSS.HSF.BF.B.3

Given f(x)=5^x write a function that is reflected over the x-axis

• g(x) = -5^x

• h(x)= 5^-x

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

Given g(x)=(1/2)^x

Write a function that is reflected over the x-axis and translated 4 units up.

• f(x)= -(1/2)^x-4

• f(x)= -(1/2)^x+4

• f(x)= (1/2)^x-4

• f(x)= -(1/2)^x+4