Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
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Chapter SH, Problem 4.2EP

a.

To determine

Find the y-intercept, axis of symmetry and the x-coordinate of the vertex.

a.

Expert Solution
Check Mark

Answer to Problem 4.2EP

The y-intercept =0

Theequation of the axis of symmetry is x=54

The x-coordinate of the vertex =54

Explanation of Solution

Given:

The given function is f(x)=2x25x .

Calculation:

  f(x)=2x25x

The function is of the form f(x)=ax2+bx+c .

  a=2,b=5,c=0

y-intercept =c=0 .

Equation of the axis of symmetry.

  x=b2ax=(5)22x=54

The axis of symmetry intersects a parabola at only one point, called the vertex.

The x-coordinate of the vertex =b2a

  =(5)22

  =54

Hence

the y-intercept =0

theequation of the axis of symmetry is x=54

the x-coordinate of the vertex =54

b.

To determine

Create a table for the values with vertex.

b.

Expert Solution
Check Mark

Answer to Problem 4.2EP

The table for the values of y with respect to x .

    xy=2x25x(x,y)
    2101.253.54.518703.125718(2,18)(1,7)(0,0)(1.25,3.125)(3.5,7)(4.5,18)

Explanation of Solution

Given:

The given function is f(x)=2x25x .

Calculation:

  f(x)=2x25x

The function is of the form f(x)=ax2+bx+c .

  a=2,b=5,c=0

The x-coordinate of the vertex =b2a

  =(5)22

  =54

Substitute the value of x=54 in the given function.

  y=2(54)25(54)=22516254=258254=258

Vertex =(54,258)

The table for the values of y with respect to x is given below.

    xy=2x25x(x,y)
    2101.253.54.518703.125718(2,18)(1,7)(0,0)(1.25,3.125)(3.5,7)(4.5,18)

c.

To determine

Draw a graph for the given function.

c.

Expert Solution
Check Mark

Explanation of Solution

Given:

The given function is f(x)=2x25x .

Calculation:

  f(x)=2x25x

The function is of the form f(x)=ax2+bx+c .

  a=2,b=5,c=0

y-intercept =c=0 .

Equation of the axis of symmetry.

  x=b2ax=(5)22x=54

The axis of symmetry intersects a parabola at only one point, called the vertex.

The x-coordinate of the vertex =b2a

  =(5)22

  =54

Draw a table for the values of y with respect to x .

    xy=2x25x(x,y)
    2101.253.54.518703.125718(2,18)(1,7)(0,0)(1.25,3.125)(3.5,7)(4.5,18)

Hence the graph of the function is given below.

  Glencoe Algebra 2 Student Edition C2014, Chapter SH, Problem 4.2EP

Chapter SH Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. SH - Prob. 1.11EPCh. SH - Prob. 1.12EPCh. SH - Prob. 1.13EPCh. SH - Prob. 1.14EPCh. SH - Prob. 1.15EPCh. SH - Prob. 1.16EPCh. SH - Prob. 1.17EPCh. SH - Prob. 1.18EPCh. SH - Prob. 1.19EPCh. SH - Prob. 1.20EPCh. SH - Prob. 1.21EPCh. SH - Prob. 1.22EPCh. SH - Prob. 1.23EPCh. SH - Prob. 1.24EPCh. SH - Prob. 1.25EPCh. SH - Prob. 2.1EPCh. SH - Prob. 2.2EPCh. SH - Prob. 2.3EPCh. SH - Prob. 2.4EPCh. SH - Prob. 2.5EPCh. SH - Prob. 2.6EPCh. SH - Prob. 2.7EPCh. SH - Prob. 2.8EPCh. SH - Prob. 2.9EPCh. SH - Prob. 2.10EPCh. SH - Prob. 2.11EPCh. SH - Prob. 2.12EPCh. SH - Prob. 2.13EPCh. SH - Prob. 2.14EPCh. SH - Prob. 2.15EPCh. SH - Prob. 2.16EPCh. SH - Prob. 2.17EPCh. SH - Prob. 2.18EPCh. SH - Prob. 2.19EPCh. SH - Prob. 2.20EPCh. SH - Prob. 2.21EPCh. SH - Prob. 2.22EPCh. SH - Prob. 2.23EPCh. SH - Prob. 2.24EPCh. SH - Prob. 2.25EPCh. SH - Prob. 3.1EPCh. SH - Prob. 3.2EPCh. SH - Prob. 3.3EPCh. SH - Prob. 3.4EPCh. SH - Prob. 3.5EPCh. SH - Prob. 3.6EPCh. SH - Prob. 3.7EPCh. SH - Prob. 3.8EPCh. SH - Prob. 3.9EPCh. SH - Prob. 3.10EPCh. SH - Prob. 3.11EPCh. SH - Prob. 3.12EPCh. SH - Prob. 3.13EPCh. SH - Prob. 3.14EPCh. SH - Prob. 3.15EPCh. SH - Prob. 3.16EPCh. SH - Prob. 3.17EPCh. SH - Prob. 3.18EPCh. SH - Prob. 3.19EPCh. SH - Prob. 3.20EPCh. SH - Prob. 3.21EPCh. SH - Prob. 3.22EPCh. SH - Prob. 3.23EPCh. SH - Prob. 3.24EPCh. SH - Prob. 3.25EPCh. SH - Prob. 3.26EPCh. SH - Prob. 4.1EPCh. SH - Prob. 4.2EPCh. SH - Prob. 4.3EPCh. SH - Prob. 4.4EPCh. SH - Prob. 4.5EPCh. SH - Prob. 4.6EPCh. SH - Prob. 4.7EPCh. SH - Prob. 4.8EPCh. SH - Prob. 4.9EPCh. SH - Prob. 4.10EPCh. SH - Prob. 4.11EPCh. SH - Prob. 4.12EPCh. SH - Prob. 4.13EPCh. SH - Prob. 4.14EPCh. SH - Prob. 4.15EPCh. SH - Prob. 4.16EPCh. SH - Prob. 4.17EPCh. SH - Prob. 4.18EPCh. SH - Prob. 4.19EPCh. SH - Prob. 4.20EPCh. SH - Prob. 4.21EPCh. SH - Prob. 4.22EPCh. SH - Prob. 4.23EPCh. SH - Prob. 4.24EPCh. SH - Prob. 4.25EPCh. SH - Prob. 5.1EPCh. SH - Prob. 5.2EPCh. SH - Prob. 5.3EPCh. SH - Prob. 5.4EPCh. SH - Prob. 5.5EPCh. SH - Prob. 5.6EPCh. SH - Prob. 5.7EPCh. SH - Prob. 5.8EPCh. SH - Prob. 5.9EPCh. SH - Prob. 5.10EPCh. SH - Prob. 5.11EPCh. SH - Prob. 5.12EPCh. SH - Prob. 5.13EPCh. SH - Prob. 5.14EPCh. SH - Prob. 5.15EPCh. SH - Prob. 5.16EPCh. SH - Prob. 5.17EPCh. SH - Prob. 5.18EPCh. SH - Prob. 5.19EPCh. SH - Prob. 5.20EPCh. SH - Prob. 5.21EPCh. SH - Prob. 5.22EPCh. SH - Prob. 5.23EPCh. SH - Prob. 5.24EPCh. SH - Prob. 5.25EPCh. SH - Prob. 6.1EPCh. SH - Prob. 6.2EPCh. SH - Prob. 6.3EPCh. SH - Prob. 6.4EPCh. SH - Prob. 6.5EPCh. SH - Prob. 6.6EPCh. SH - Prob. 6.7EPCh. SH - Prob. 6.8EPCh. SH - Prob. 6.9EPCh. SH - Prob. 6.10EPCh. SH - Prob. 6.11EPCh. SH - Prob. 6.12EPCh. SH - Prob. 6.13EPCh. SH - Prob. 6.14EPCh. SH - Prob. 6.15EPCh. SH - Prob. 6.16EPCh. SH - Prob. 6.17EPCh. SH - Prob. 6.18EPCh. SH - Prob. 6.19EPCh. SH - Prob. 6.20EPCh. SH - Prob. 6.21EPCh. SH - Prob. 6.22EPCh. SH - Prob. 6.23EPCh. SH - Prob. 6.24EPCh. SH - Prob. 6.25EPCh. SH - Prob. 7.1EPCh. SH - Prob. 7.2EPCh. SH - Prob. 7.3EPCh. SH - Prob. 7.4EPCh. SH - Prob. 7.5EPCh. SH - Prob. 7.6EPCh. SH - Prob. 7.7EPCh. SH - Prob. 7.8EPCh. SH - Prob. 7.9EPCh. SH - Prob. 7.10EPCh. SH - Prob. 7.11EPCh. SH - Prob. 7.12EPCh. SH - Prob. 7.13EPCh. SH - Prob. 7.14EPCh. SH - Prob. 7.15EPCh. SH - Prob. 7.16EPCh. SH - Prob. 7.17EPCh. SH - Prob. 7.18EPCh. SH - Prob. 7.19EPCh. SH - Prob. 7.20EPCh. SH - Prob. 7.21EPCh. SH - Prob. 7.22EPCh. SH - Prob. 7.23EPCh. SH - Prob. 7.24EPCh. SH - Prob. 7.25EPCh. SH - Prob. 8.1EPCh. SH - Prob. 8.2EPCh. SH - Prob. 8.3EPCh. SH - Prob. 8.4EPCh. SH - Prob. 8.5EPCh. SH - Prob. 8.6EPCh. SH - Prob. 8.7EPCh. SH - Prob. 8.8EPCh. SH - Prob. 8.9EPCh. SH - Prob. 8.10EPCh. SH - Prob. 8.11EPCh. SH - Prob. 8.12EPCh. SH - Prob. 8.13EPCh. SH - Prob. 8.14EPCh. SH - Prob. 8.15EPCh. SH - Prob. 8.16EPCh. SH - Prob. 8.17EPCh. SH - Prob. 8.18EPCh. SH - Prob. 8.19EPCh. SH - Prob. 9.1EPCh. SH - Prob. 9.2EPCh. SH - Prob. 9.3EPCh. SH - Prob. 9.4EPCh. SH - Prob. 9.5EPCh. SH - Prob. 9.6EPCh. SH - Prob. 9.7EPCh. SH - Prob. 9.8EPCh. SH - Prob. 9.9EPCh. SH - Prob. 9.10EPCh. SH - Prob. 9.11EPCh. SH - Prob. 9.12EPCh. SH - Prob. 9.13EPCh. SH - Prob. 9.14EPCh. SH - Prob. 9.15EPCh. SH - Prob. 9.16EPCh. SH - Prob. 9.17EPCh. SH - Prob. 9.18EPCh. SH - Prob. 9.19EPCh. SH - Prob. 9.20EPCh. SH - Prob. 9.21EPCh. SH - Prob. 10.1EPCh. SH - Prob. 10.2EPCh. SH - Prob. 10.3EPCh. SH - Prob. 10.4EPCh. SH - Prob. 10.5EPCh. SH - Prob. 10.6EPCh. SH - Prob. 10.7EPCh. SH - Prob. 10.8EPCh. SH - Prob. 10.9EPCh. SH - Prob. 10.10EPCh. SH - Prob. 10.11EPCh. SH - Prob. 10.12EPCh. SH - Prob. 10.13EPCh. SH - Prob. 10.14EPCh. SH - Prob. 10.15EPCh. SH - Prob. 10.16EPCh. SH - Prob. 10.17EPCh. SH - Prob. 10.18EPCh. SH - Prob. 10.19EPCh. SH - Prob. 10.20EPCh. SH - Prob. 10.21EPCh. SH - Prob. 10.22EPCh. SH - Prob. 10.23EPCh. SH - Prob. 10.24EPCh. SH - Prob. 10.25EPCh. SH - Prob. 10.26EPCh. SH - Prob. 11.1EPCh. SH - Prob. 11.2EPCh. SH - Prob. 11.3EPCh. SH - Prob. 11.4EPCh. SH - Prob. 11.5EPCh. SH - Prob. 11.6EPCh. SH - Prob. 11.7EPCh. SH - Prob. 11.8EPCh. SH - Prob. 11.9EPCh. SH - Prob. 11.10EPCh. SH - Prob. 11.11EPCh. SH - Prob. 11.12EPCh. SH - Prob. 11.13EPCh. SH - Prob. 11.14EPCh. SH - Prob. 12.1EPCh. SH - Prob. 12.2EPCh. SH - Prob. 12.3EPCh. SH - Prob. 12.4EPCh. SH - Prob. 12.5EPCh. SH - Prob. 12.6EPCh. SH - Prob. 12.7EPCh. SH - Prob. 12.8EPCh. SH - Prob. 12.9EPCh. SH - Prob. 12.10EPCh. SH - Prob. 12.11EPCh. SH - Prob. 12.12EPCh. SH - Prob. 12.13EPCh. SH - Prob. 12.14EPCh. SH - Prob. 12.15EPCh. SH - Prob. 12.16EPCh. SH - Prob. 12.17EPCh. SH - Prob. 12.18EPCh. SH - Prob. 12.19EPCh. SH - Prob. 12.20EPCh. SH - Prob. 12.21EPCh. SH - Prob. 12.22EPCh. SH - Prob. 12.23EPCh. SH - Prob. 12.24EPCh. SH - Prob. 13.1EPCh. SH - Prob. 13.2EPCh. SH - Prob. 13.3EPCh. SH - Prob. 13.4EPCh. SH - Prob. 13.5EPCh. SH - Prob. 13.6EPCh. SH - Prob. 13.7EPCh. SH - Prob. 13.8EPCh. SH - Prob. 13.9EPCh. SH - Prob. 13.10EPCh. SH - Prob. 13.11EPCh. SH - Prob. 13.12EPCh. SH - Prob. 13.13EPCh. SH - Prob. 13.14EPCh. SH - Prob. 13.15EPCh. SH - Prob. 13.16EPCh. SH - Prob. 13.17EPCh. SH - Prob. 13.18EPCh. SH - Prob. 13.19EPCh. SH - Prob. 13.20EPCh. SH - Prob. 13.21EPCh. SH - Prob. 13.22EP
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