Prentice Hall Algebra 1

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function.

  1. y equals , 2 x squared , plus 3
  2. y equals negative , 3 x squared , plus 12 x plus 1
  3. f open x close equals , 2 x squared , plus 4 x minus 1
  4. y equals , x squared , minus 8 x minus 7
  5. f open x close equals , 3 x squared , minus 9 x plus 2
  6. y equals negative , 4 x squared , plus 11
  7. f open x close equals negative , 5 x squared , plus 3 x plus 2
  8. y equals negative , 4 x squared , minus 16 x minus 3
  9. f open x close equals , 6 x squared , plus 6 x minus 5

Match each function with its graph.

  1. A screen from a graphing calculator displays an upward-opening parabola with its vertex at approximately (negative 3, negative 10). It rises to the left and right through approximately (negative 6, 0) and (0, 0).
  2. A screen from a graphing calculator displays a downward-opening parabola with its vertex at approximately (0, 6). It falls to the left and right through approximately (negative 2 and one-half, 0) and (2 and one-half, 0).
  3. A screen from a graphing calculator displays a downward-opening parabola with its vertex at approximately (negative 3, 10). It falls to the left and right through approximately (negative 6, 0) and (0, 0).
  4. A screen from a graphing calculator displays an upward-opening parabola with its vertex at approximately (0, negative 6). It rises to the left and right through approximately (negative 2 and one-half, 0) and (2 and one-half, 0).
  1. y equals negative , x squared , minus 6 x
  2. y equals negative , x squared , plus 6
  3. y equals , x squared , minus 6
  4. y equals , x squared , plus 6 x

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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments