Make up Lesson 2: Transformations of Logs and Exp

What is the parent function of

f(x)=2(10)^x-7

• f(x)=2

• f(x)=(1/10)

• f(x)=2^x

• f(x)=(10)^x

Select all the transformations that apply.

y = log₆ (x - 1) - 5

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 5

• Vertical shift down 5

Select all the transformations that apply.

y = log₅ (x + 1) +1

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 1

• Vertical shift down 1

Select all the transformations that apply.

y = -2 log_0.5 x

• Vertical stretch

• Vertical compression

• Reflection across the y-axis

• Reflection across the x-axis

Select all the transformations that apply.

y = 5log₂ (x)

• Vertical stretch

• Vertical Compression

• Horizontal compression

• Horizontal stretch

In the general log function 
y = a*log_b(x-h)+k, what letter tells us if the function has moved left or right?

• a
• b
• h
• k

What transformation is occurring vertically? y = 2/3 log x

• stretch

• compression

What transformation is occurring? y = log (x) - 6

• Horizontal shift left 6

• Horizontal shift right 6

• Vertical shift up 6

• Vertical shift down 6

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Tags

CCSS.HSF-IF.C.7E

Describe the transformations of f(x)= -log₂(x+1)

• left one & y-axis reflection

• right one & y-axis reflection

• left one & x-axis reflection

• right one & x-axis reflection