Exponential and Logarithmic Transformation

What transformations have happened to y = 2^x if the new equation is
 y = -2^(x+3) -6

• It stayed the same

• flips, up 3, left 6

• flips, right 3, down 6

• flips, left 3, down 6

Select all the transformations that apply when compared to its parent function.

g(x) = log ₆ (x - 1) - 5

• Translate left 1 unit

• Translate right 1 unit

• Translate up 5 units

• Translate down 5 units

What are the transformations of the function when compared to its parent function?

• Translate right 1 unit and up 5 units

• Translate right 1 unit and down 5 units

• Translate left 1 unit and up 5 units

• Translate left 1 unit and down 5 units

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

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:
Translate 3 units left and 2 units up.

• f(x)=log(x+2)+2

• f(x)=log(x+2)-4

• f(x)=log(x+8)-4

• f(x)=log(x+8)+2

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25

• -2^0.25  = 2

• 2^-2  = 0.25

• No correct answer

Rewrite 3⁴ = 81 in logarithmic form.

• log₃ 4 = 81

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₄ 81 = 3

Is this exponential growth or decay?

• Growth

• Decay