Exponential Functions Translation and Reflections

Match the equation to its description.

• Stretched by 2 and up 4

• Compressed by 2 and up 4

• Stretched by 2 and left 4

• Compressed by 2 and left 4

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

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

Write a function that is reflected vertically 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

If the graph of the function y = 5^𝑥 is reflected over the line 𝑦 = 𝑥, what is the equation of the resulting function?

• y = log_x(3)

• y = log₅(x)

• y = 5^x

• y = 5/x

What transformation best describes the function?

• stretch 

• shrink 

• reflection

• shift down

y=-4^{(x+1) 
Describe the translation}

• Reflected over y=1 and right 1 

• Reflected over y=0 and left 1

• Reflected over y=0

• Reflected over y=0 and right 1

Given g(x)=5^x
Write a function that is reflected over the line y=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)

Given f(x) = 4^x and the translated function 
g(x) = 4^-x +6, which translation would result in a change of the range? 

• Reflection over the line x=0

• Vertical shirt of 6 units up

• Neither

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• Reflection across the y-axis

• Reflection across the x-axis