Explain how to obtain the graph of the given quadratic function from the graph of 
f(x) = -2(x + 9)2 + 6
A. Take the graph of y = x2 and shift it 9 units to the right, shift it 6 units up, vertically stretch it by a factor of +2, and the graph will open downward.
B. Take the graph of y = x2 and shift it 9 units to the left, shift it 6 units up, vertically compress it by a factor of +2, and the graph will open downward.
C. Take the graph of y = x2 and shift it 9 units to the right, shift it 5 units down, vertically stretch it by a factor of +2, and the graph will open upward.
D. Take the graph of y = x2 and shift it 9 units to the left, shift it 6 units up, vertically stretch it by a factor of +2, and the graph will open downward.
Answer: D
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Identify the problem with the method used to obtain a random sample.Kate is researching drug use amongst U.S. adults and would like to obtain a random sample of U.S. adults. She obtains an alphabetical list of all students at her university. There are 12,906 names on the list. She uses a random number generator to generate 200 numbers between 1 and 12,906. She chooses the names corresponding to those 200 numbers.
A. The sample will be biased because the random number generator might choose the same number more than once. B. The sample will be biased because the random number generator will only choose numbers between 1 and 10,000. Students corresponding to higher numbers cannot be selected. C. The sample will be biased because students at her university are not representative of all U.S. adults.
Simplify.(x9y)3
A. x12y4 B. x12y C. x27y D. x27y3
Solve the problem.An outlet store had monthly sales of $75,400 and spent 14% of it on health insurance. How much was spent on health insurance?
A. $538,571 B. $10,556 C. $53,857 D. $105,560
Provide an appropriate response.Explain why the order in which coordinates are subtracted to find slope does not matter as long as x-coordinates are subtracted in the same order as y-coordinates.
What will be an ideal response?