Transformation Station 1. Write a function that represents this process:
a. Take a number, X.
b. Multiply it by 4.
c. Subtract 2 from the result.
Then find the inverse of this function. Does the inverse represent the reverse of
the process above? Explain why or why not.
2. Show why, for linear functions, a vertical translation is equivalent to a
horizontal translation. For a linear function, what horizontal translation is
equivalent to a vertical translation of 3 units up?
3. Alex says that the function f(x) = (3x)2 represents a vertical stretch of the
quadratic parent function by a factor of 3. Marta says that it represents a
horizontal compression by a factor of ſ. Decide whether one student is
correct, both are correct, or neither is correct.
4. For an unknown parent function f(x), write a function g(x) that is:
o vertically stretched by a factor of 2,
o shifted up 5 units, and
o shifted right 4 units.
Explain how your function accomplishes these transformations.

Overproduction of uric acid in the body can be an indication of cell breakdown. this may be an advance indication of illness such as gout, leukemia, or lymphoma.† over a period of months, an adult male patient has taken nine blood tests for uric acid. the mean concentration was x = 5.35 mg/dl. the distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.87 mg/dl. (a) find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. what is the margin of error? (round your answers to two decimal places.) lower limit upper limit margin of error (b) what conditions are necessary for your calculations? (select all that apply.) σ is unknown n is large σ is known normal distribution of uric acid uniform distribution of uric acid (c) interpret your results in the context of this problem. there is not enough information to make an interpretation. the probability that this interval contains the true average uric acid level for this patient is 0.05. the probability that this interval contains the true average uric acid level for this patient is 0.95. there is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. there is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. (d) find the sample size necessary for a 95% confidence level with maximal margin of error e = 1.10 for the mean concentration of uric acid in this patient's blood. (round your answer up to the nearest whole number.) blood tests