Answer:
g(x) = -√(-x +9)
Step-by-step explanation:
The relevant transformations are ...
- f(x -h) . . . . . shifts the graph of f(x) right h units
- f(x) +k . . . . . shifts the graph of f(x) up k units
- -f(x) . . . . . . . reflects the graph of f(x) over the x-axis
- f(-x) . . . . . . . reflects the graph of f(x) over the y-axis
<h3>Application</h3>
Applying the transformations in the specified order, we have ...
f(x) = √x
f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left
-f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis
-f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis
The shifted, reflected function is ...
g(x) = -√(-x +9)
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<em>Additional comment</em>
The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.
Answer: 7
Step-by-step explanation:
Here, two chords of the circle is intersecting outside the given circle.
Thus, By the intersecting chord outside the circle theorem,
Hence, the value of x is 7.
Answer:
The correct option is;
The first twenty-five customers
Step-by-step explanation:
For the given data, by calculation, we have;
The population average = 11.45
The average of the first five customers = 13.2
The average of the first ten customers = 11.6
The average of the first twenty customers = 12.5
The average of the first twenty-five customers = 11.72
Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers
However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size
Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.
Answer:
The application of scientific knowledge to solve problems or create new products is inter dependant with curiosity
Answer:
(-7, 1)
Step-by-step explanation:
Coordinate rules :]
Reflection over x-axis -- (x, y) -> (x, -y)
Reflection over y-axis -- (x, y) -> (-x, y)
Reflection over y = x -- (x, y) -> (y, x)
Reflection over y = -x -- (x, y) -> (-y, -x)
