Transformations of Exponential Functions

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

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

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

Tags

CCSS.HSF.LE.B.5

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

How has the function  $-5\left(3\right)^x+4$  been transformed from the parent function  $5\left(3\right)^x$  ?

• Shifted up 4

• Shifted down 4

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

Identify the asymptote of the function  $-3\left(3\right)^x+4$  

• y = -3

• y = 1

• y = 4

Tags

CCSS.HSF-IF.C.7E

• $-3\left(4\right)^x+2$

• $-3\left(\frac{1}{4}\right)^x+2$

• $3\left(4\right)^x+2$

• $3\left(\frac{1}{4}\right)^x+2$

Tags

CCSS.HSF-IF.C.7E

• $y=-\left(\frac{1}{4}\right)^x-2$

• $y=4^x-2$

• $y=-4^x-2$

• $y=\left(\frac{1}{4}\right)^x-2$

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.B.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

Tags

CCSS.HSF.BF.B.3