Exponential Functions

What type of function is f(x)=2(1/7)^x ?

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

What type of function is f(x)=2(1/7)^x ?

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

For  $y=a\left(b\right)^x+k$  , how does adding a constant "k" transform the parent function?

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

How has the function  $y=7\left(3\right)^x-5$  been transformed from the parent function  $y=7\left(3\right)^x$  ?

• Translated up 5

• Translated down 5

• Reflection over the x-axis

• Reflection over the y-axis

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3
• y=2^x+3
• y=2^x+3
• y=2^x-3

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

What transformation maps  $f\left(x\right)=3^x$  to  $g\left(x\right)=3^{x+2}$  

• Translates left 2 units

• Translates right 2 units

• Translates up 2 units 

• Translates down 2 units