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a) Write the equation of the function whose parent function is f(x) = x ^ 2 and has been translated 3 units to the right, reflected over the x-axis, horizontally scaled by a factor of 2 and translated 4 units up.

a) Write the equation of the function whose parent function is f(x) = x ^ 2 and has been translated 3 units to the right, reflected over the x-axis, horizontally scaled by a factor of 2 and translated 4 units up.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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a) Write the equation of the function whose parent function is f(x) = x ^ 2 and has been translated 3 units to the right, reflected over the x-axis, horizontally scaled by a factor of 2 and translated 4 units up.
ny By a tshr of y v-3x-2 Translated down a units 0) strethed verticaly DTranlated RIGHT 3 units y (x- 3)2 + 7 a) Translaked up 7 units Reflectkd over the x-axis Trans lated, left 7 units y = -Vx+7- 10 down D unib Đ Campremed vectically Ď Trunslated uy 2 units a) Compressed verically y = x+2 %3D Example 4: a) Write the equation of the function whose parent function is f(x) = x² and has been translated 3 units to the right, reflected over the x-axis, horizontally scaled by a factor of 2, and translated 4 units up. b) Write the equatiop of the function whose parent function, isf(x) = V and has been vertically scaled by a factor of 2, horizontally scaled by a factor of 5, and translated 10 units to the left. %3D 205 c) Write an equation of the function whose parent function is f(x) = |xland has by a factor of 7, reflected in the x-axis, reflected in the y-axis, translated 5 units to the right and been vertically scaled translated 2 units up. 30
Transcribed Image Text:ny By a tshr of y v-3x-2 Translated down a units 0) strethed verticaly DTranlated RIGHT 3 units y (x- 3)2 + 7 a) Translaked up 7 units Reflectkd over the x-axis Trans lated, left 7 units y = -Vx+7- 10 down D unib Đ Campremed vectically Ď Trunslated uy 2 units a) Compressed verically y = x+2 %3D Example 4: a) Write the equation of the function whose parent function is f(x) = x² and has been translated 3 units to the right, reflected over the x-axis, horizontally scaled by a factor of 2, and translated 4 units up. b) Write the equatiop of the function whose parent function, isf(x) = V and has been vertically scaled by a factor of 2, horizontally scaled by a factor of 5, and translated 10 units to the left. %3D 205 c) Write an equation of the function whose parent function is f(x) = |xland has by a factor of 7, reflected in the x-axis, reflected in the y-axis, translated 5 units to the right and been vertically scaled translated 2 units up. 30
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