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46.7
Given the Cartesian equation \( y = x^2 + 3x + 2 \), find a set of parametric equations that represent this curve.
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To find a set of parametric equations, we can let \( t = x \). Then, the parametric equations become: \[ x = t \] \[ y = t^2 + 3t + 2 \] Thus, the parametric equations are \( x = t \) and \( y = t^2 + 3t + 2 \).
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x=t

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Class Outline

  • 4
    units
  • 58
    mastery quizzes
  • 58
    adaptive reviews
Unit 1: Polynomial and Rational Functions
  • Unit 1: Polynomial and Rational Functions
  • Unit 2: Exponential and Logarithmic Functions
  • Unit 3: Trigonometric and Polar Functions
  • Unit 4: Functions Involving Parameters, Vectors, and Matrices
  • 1.1 Change in Tandem - Quiz
    Mastery Quiz
    Demo as learner
  • 1.1 Change in Tandem - Review
    Review Assignment
    Demo as learner
  • 1.2 Rates of Change - Quiz
    Mastery Quiz
    Demo as learner
  • 1.2 Rates of Change - Review
    Review Assignment
    Demo as learner
  • 1.3 Rates of Change in Linear and Quadratic Functions - Quiz
    Mastery Quiz
    Demo as learner
  • 1.3 Rates of Change in Linear and Quadratic Functions - Review
    Review Assignment
    Demo as learner
  • 1.4 Polynomial Functions and Rates of Change - Quiz
    Mastery Quiz
    Demo as learner
  • 1.4 Polynomial Functions and Rates of Change - Review
    Review Assignment
    Demo as learner
  • 1.5 Polynomial Functions and Complex Zeros - Quiz
    Mastery Quiz
    Demo as learner
  • 1.5 Polynomial Functions and Complex Zeros - Review
    Review Assignment
    Demo as learner
  • 1.6 Polynomial Functions and End Behavior - Quiz
    Mastery Quiz
    Demo as learner
  • 1.6 Polynomial Functions and End Behavior - Review
    Review Assignment
    Demo as learner
  • 1.7 Rational Functions and End Behavior - Quiz
    Mastery Quiz
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  • 1.7 Rational Functions and End Behavior - Review
    Review Assignment
    Demo as learner
  • 1.8 Rational Functions and Zeros - Quiz
    Mastery Quiz
    Demo as learner
  • 1.8 Rational Functions and Zeros - Review
    Review Assignment
    Demo as learner
  • 1.9 Rational Functions and Vertical Asymptotes - Quiz
    Mastery Quiz
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  • 1.9 Rational Functions and Vertical Asymptotes - Review
    Review Assignment
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  • 1.10 Rational Functions and Holes - Quiz
    Mastery Quiz
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  • 1.10 Rational Functions and Holes - Review
    Review Assignment
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  • 1.11 Equivalent Representations of Polynomial and Rational Expressions - Quiz
    Mastery Quiz
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  • 1.11 Equivalent Representations of Polynomial and Rational Expressions - Review
    Review Assignment
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  • 1.12 Transformations of Functions - Quiz
    Mastery Quiz
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  • 1.12 Transformations of Functions - Review
    Review Assignment
    Demo as learner
  • 1.13 Function Model Selection and Assumption Articulation - Quiz
    Mastery Quiz
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  • 1.13 Function Model Selection and Assumption Articulation - Review
    Review Assignment
    Demo as learner
  • 1.14 Function Model Construction and Application - Quiz
    Mastery Quiz
    Demo as learner
  • 1.14 Function Model Construction and Application - Review
    Review Assignment
    Demo as learner
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46.7
Describe how the graph of the function \( f(x) = x^2 \) changes when it is translated 3 units to the right and 2 units up.
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Which of the following pairs of expressions represent the same polynomial function?
  • A.
    \( f(x) = x^2 - 4x + 4 \) and \( g(x) = (x-2)^2 \)
  • B.
    \( f(x) = x^2 + 4x + 4 \) and \( g(x) = (x+2)^2 \)
  • C.
    \( f(x) = x^2 - 4x + 4 \) and \( g(x) = (x+4)^2 \)
  • D.
    \( f(x) = x^2 + 4x + 4 \) and \( g(x) = (x-2)^2 \)
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