Exponential Functions Transformations

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

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

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

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.C.7

CCSS.HSA.REI.D.10

Determine the range for the function

f(x) = 3(2)^x-4 + 5

• [5,∞)

• (5,∞)

• [4,∞)

• (4,∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Determine the domain for the function
f(x)=3(2)^x-4+5

• [5,∞)
• (5,∞)
• (-∞,∞)
• (∞,-∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSF.BF.B.3

What is the y-intercept of $g\left(x\right)=0.9\left(2\right)^x$  ?

•  $\infty$  

• 2

• 0.9

• 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

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

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

Tags

CCSS.HSF.LE.B.5