Transformations of Exponential Functions CW/HW

For  $y=a\left(b\right)^x+k$  , how can the coefficient transform the function?

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

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

• $-3\left(3\right)^x+2$

• $-3\left(\frac{1}{3}\right)^x+2$

• $-3\left(3\right)^x-2$

• $-3\left(\frac{1}{3}\right)^x-2$

Tags

CCSS.HSF-IF.C.7E

 $f_1\left(x\right)=3.6^x\ \ and\ \ \ \ f_2\left(x\right)=\ 4.1^x$  
Which function grows faster as x increases towards  $\infty$  

•  $f_1\left(x\right)$  

•  $f_2\left(x\right)$  

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the y-intercept of the function  $y=4\left(5\right)^x?$  

• (0, 0)

• (0, 4)

• (0, 5)

Tags

CCSS.HSF-IF.C.7E

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E

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