<span>1.Describe how the graph of y = x2 can be transformed to the graph of the given equation.
y = (x+17)2
Shift the graph of y = x2 left 17 units.
2.Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = (x-4)2-8
Shift the graph of y = x2 right 4 units and then down 8 units.
.Describe how to transform the graph of f into the graph of g.
f(x) = x2 and g(x) = -(-x)2
Reflect the graph of f across the y-axis and then reflect across the x-axis.
Question 4 (Multiple Choice Worth 2 points)
Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = x2 + 8
Shift the graph of y = x2 up 8 units.
Question 5 (Essay Worth 2 points)
Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch.
f as a function of x is equal to the square root of x and g as a function of x is equal to 8 times the square root of x
f(x) = √x, g(x) = 8√x
vertical stretch factor 8
Plz mark as brainlest</span>
Answer:
x=-1
Step-by-step explanation:
Answer: The mode is: 3 . The range is: 6 .
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Explanation:
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It would be best to list this values in the data set given, from least to greatest:
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{ 3, 3, 3, 3, 4, 5, 5, 6, 9 } .
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The mode is the number that occurs most frequently in the data set, which is: "3".
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{The number, "3", occurs FOUR (4) times. The number, "4", occurs ONE (1) time. The number, "5", occurs TWO (2) times. The number, "6", occurs ONE (1) time. The number, "9", occurs ONE (1) time.}.
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The range is calculated from subtracting the LOWEST value in the data set FROM the HIGHEST value in the data set.
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The lowest values in the data set is: "3" .
The highest value in the data set is: "9" .
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To calculate the range: 9 <span>− 3 = 6 . The range is: "6".
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Answer: The mode is: 3 . The range is: 6 .
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A number x divided by -1 is at least -4.
x / -1 ≥ -4
Multiply both sides by -1.
x ≤ 4
Remember, when multiplying or dividing by a negative, you must change the sign's direction.
~Hope I helped!~
Answer:
a) Table and graph showed
b) The distance will be 231 miles
c) Yes
Step-by-step explanation:
We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as
D(g)=22g, being g the number of gallons of gas used
a) The graph of the function D and its corresponding table of values is shown below.
b) If the van used g=10.5 gallons of gas, the distance would be:
D(10.5)=22 x 10.5 = 231 miles
c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.
