Transformations of Exponential Functions EOC

Given g(x)=5^x
Write a function that is reflected over the line x=0 and translated 4 units to the right. 

• f(x)= -5^x-4
• f(x)= -5^x+4
• f(x)= 5^(x-4)
• f(x)= 5^-(x-4)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.B.3

Given g(x)=(1/2)^x
Write a function that is reflected over the line y=0 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

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.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What is the transformation?

• Horizontal Translation left 2
• Vertical Translation down 2
• None
• Reflection across the line y=0

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

What is the transformation of f(x)=2(1/2)^x-7

• stretch by 2

  down 7

• shrink by 1/2

  down 7

• stretch by 2

  up 7

• shrink by 1/2

  up 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7