6.6 Transformations of Exponential Functions

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

Given y=3^x determine the y-intercept 

• (0,1)
• (0,3)
• No Y-intercept
• y=1

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

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

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

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

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$  
What transformation has taken place from the parent function to g(x)

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis

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

What is "a", the initial value, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x