2. Which sequence of transformations takes the graph of y = k(x) to the graph of y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of
B. Translate 1 to the left, scale vertically by , then reflect over the x-axis.
C. Translate left by , then translate up 1.
D. Scale vertically by z, reflect over the y-axis, then translate up 1.

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1

Step-by-step explanation:

Initially:

We have the function

k(x + 1)

To translate a function k(x) a units to the left, we find k(x + a).

Thus, k(x+1) is the translation of k(x) 1 unit to the left.

-k(x+1)

Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.

Thus:

The answer is given by option A:

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1

i believe the answer is c.

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: