a) Write the equation of the function whose parent function is f(x) = x ^ 2 and has been translated units to the right, reflected over the x-axis, horizontally scaled by a factor of 2, and translated 4 units up. oney = -Vx+ 7 – 10DReflected over the x-axisTrans lated, left 7 unitstranslate d doun iD unitCompressed verticallyupa) Compresced verticaly1y = ,x + 2Ď Trunslatedさuni市Example 4:a) Write the equation of the function whose parent function is f(x) = x² and has been translated 3units to the right, reflected over the x-axis, horizontally scaled by a factor of 2, and translated 4 unitsup.b) Write the equation of the function whose parent function isf(x) = Vx and has been verticallyscaled by a factor of 2, horizontally scaled by a factor of 5, and translated 10 units to the left.-0.5C=ュ(+0)%3D

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

Write the equation of the function whose parent function is f(x) = x ^ 2 and has been translated 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

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 32E

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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

one
y = -Vx+ 7 – 10
DReflected over the x-axis
Trans lated, left 7 units
translate d doun iD unit
Compressed vertically
up
a) Compresced verticaly
1
y = ,x + 2
Ď Trunslated
さuni市
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 equation of the function whose parent function isf(x) = Vx and has been vertically
scaled by a factor of 2, horizontally scaled by a factor of 5, and translated 10 units to the left.
-0.5
C=ュ(+0)
%3D

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