Transformations of Exponential Functions

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

• (0, 0)

• (0, 4)

• (0, 5)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

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

• y = 0

• y = 4

• y = 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

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

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

CCSS.HSF.IF.C.7

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

CCSS.HSF.IF.C.7

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

• y-intercept at (0, -3)

• y-intercept at (0, 1)

• y-intercept at (0, -7)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

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

• y = -3

• y = 1

• y = 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

• $-3\left(3\right)^x+2$

• $-3\left(\frac{1}{3}\right)^x+2$

• $-3\left(3\right)^x-2$

• $-3\left(\frac{1}{3}\right)^x-2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1