Answer:
<h2>C. G(x) = (x - 1)² - 3</h2>Step-by-step explanation:
f(x) + n - shift the graph of f(x) n units up
f(x) - n - shift the graph of f(x) n units down
f(x - n) - shift the graph of f(x) n units to the right
f(x + n) - shift the graph of f(x) n units to the left
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Look at the picture.
The graph of F(x) shifted 1 unit to the right and 3 units down.
Therefore the equation of the function G(x) is
Answer:
The answer is below
Step-by-step explanation:
The complete question is:
In 1960, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.
a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.
b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.
c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.
Answer:
a) From the question, we can get two ordered pairs which are
Using the equation of a line given two points:
b) In 2013, t = 2013 - 1900 = 113.
Hence:
c)
Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.
Answer:
Step-by-step explanation:
Given
Points:
Required
Determine the equation of line that is perpendicular to the given points and that pass through
First, we need to determine the slope, m of FG
Where
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The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:
The equation of the line is then calculated as:
Where
Multiply through by 2
Add x to both sides
Hence, the line of the equation is