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Chapter 6: Quadratic Functions and Inequalities

Q23.

Page 298

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

x2-2x-1=0

Q23.

Page 291

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

f(x)=x2+12x+36

Q24.

Page 298

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

-x2+x=-20

Q24.

Page 291

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

f(x)=3x2+6x-1

Q25.

Page 298

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

x2-9x=-18

Q25.

Page 291

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

f(x)=-2x2+8x-3

Q26.

Page 291

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

f(x)=-3x2-4x

Q26.

Page 298

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

14x+x2+49=0

Q27.

Page 291

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

f(x)=2x2+5x

Q27.

Page 298

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

-12x+x2=-36

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