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h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) TRANSFORMATION OF FUNCTIONS Vertical shift c units up Vertical shift c units down Reflection over the x-axis h(x) = f(x-c) h(x) = f(x+c) 41. Given f(x)=x² and g(x)=(x-3)² +1. How the does the graph of g(x) differ from f(x)? Horizontal shift c units right Horizontal shift c units left 42. Write an equation for the function that has the shape of f(x)= x³ but moved six units to the left and reflected over the x-axis. 43. If the ordered pair (2, 4) is on the graph of f(x), find one ordered pair that will be on the following functions: a) f(x)-3 b) f(x-3) c) 2 f(x) d) f(x-2)+1 e) -f(x)

h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) TRANSFORMATION OF FUNCTIONS Vertical shift c units up Vertical shift c units down Reflection over the x-axis h(x) = f(x-c) h(x) = f(x+c) 41. Given f(x)=x² and g(x)=(x-3)² +1. How the does the graph of g(x) differ from f(x)? Horizontal shift c units right Horizontal shift c units left 42. Write an equation for the function that has the shape of f(x)= x³ but moved six units to the left and reflected over the x-axis. 43. If the ordered pair (2, 4) is on the graph of f(x), find one ordered pair that will be on the following functions: a) f(x)-3 b) f(x-3) c) 2 f(x) d) f(x-2)+1 e) -f(x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 62E
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h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) TRANSFORMATION OF FUNCTIONS Vertical shift c units up Vertical shift c units down Reflection over the x-axis h(x)=f(x-c) h(x) = f(x+c) 41. Given f(x)=x² and g(x)=(x-3)² +1. How the does the graph of g(x) differ from f(x)? 42. Write an equation for the function that has the shape of f(x)= x³ but moved six units to the left and reflected over the x-axis. b) f(x-3) Horizontal shift c units right Horizontal shift c units left 43. If the ordered pair (2, 4) is on the graph of f(x), find one ordered pair that will be on the following functions: a) f(x)-3 c) 2 f(x) 11 d) f(x-2)+1 e) -f(x)
Transcribed Image Text:h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) TRANSFORMATION OF FUNCTIONS Vertical shift c units up Vertical shift c units down Reflection over the x-axis h(x)=f(x-c) h(x) = f(x+c) 41. Given f(x)=x² and g(x)=(x-3)² +1. How the does the graph of g(x) differ from f(x)? 42. Write an equation for the function that has the shape of f(x)= x³ but moved six units to the left and reflected over the x-axis. b) f(x-3) Horizontal shift c units right Horizontal shift c units left 43. If the ordered pair (2, 4) is on the graph of f(x), find one ordered pair that will be on the following functions: a) f(x)-3 c) 2 f(x) 11 d) f(x-2)+1 e) -f(x)
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