The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. K vertically shifts the function. Transform f(x) into g(x) where the transformation is g(x) = 3 · f(x) The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.) 7- 4- -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2 -4- -5- -7+
The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. K vertically shifts the function. Transform f(x) into g(x) where the transformation is g(x) = 3 · f(x) The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.) 7- 4- -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2 -4- -5- -7+
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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Transcribed Image Text:The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K.
where the constants
• A vertically scales the function. (negative A reflects the function about the x-axis.)
• B horizontally scales the function. (negative B reflects the function about the y-axis.)
• H horizontally shifts the function.
• K vertically shifts the function.
Transform f(æ) into g(x) where the transformation is g(æ) = 3 · f(x)
The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each
end point of the new transformed function and then click on the "line segment" button and connect the two
blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.)
71
4-
-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6
-2
-4-
-5-
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