Transformations of exponentials Functions

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• reflection across bacchi

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

Given f(x)=5^x write a function that is reflected over the x-axis

• g(x) = -5^x

• h(x)= 5^-x

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

y=-4^(x+1)

^{Describe the translation}

• Reflected over x-axis and right 1

• Reflected over x-axis and left 1

• left 1

• right 1

Given the function f(x) = (1/3)^x-4, describe the translation

• 4 units up
• 4 units down
• 4 units right
• 4 units left

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

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

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

• Translated up 5

• Translated down 5

• Reflection over the x-axis

• Reflection over the y-axis

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

Which of the following represents the correct transformation of 2^x

• Horizontal Shift to the left by 7

• Vertical Shift upwards by 7

• Horizontal Shift right by 7

• Vertical shift downwards by 7

Tags

CCSS.HSF.BF.B.3