Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Question
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Chapter SH, Problem 9.2EP
To determine

To find: The vertex, the equation of the axis of symmetry, and the y -intercept of the graph of the equation y=2x2+8x+5 .

Expert Solution & Answer
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Answer to Problem 9.2EP

The vertex, the equation of the axis of symmetry, and the y -intercept of the graph of the equation y=2x2+8x+5 are (2,13) , x=2 and 5, respectively.

Explanation of Solution

Given information:

The given equation is y=2x2+8x+5 .

Calculation:

The given equation is a quadratic equation.

  y=ax2+bx+c

Compare the given equation with the standard form of the quadratic equation.

  a=2,b=8,c=5

Write the equation for the axis of the symmetry.

  x=b2a

Substitute 8 for b and 2 for a .

  x=82(2)=84=2

So, the equation for the axis of the symmetry is x=2 .

The vertex is equal to (x,y) . To calculate the value of y , substitute 2 for x in the given equation.

  y=2(2)2+8×2+5=8+16+5=13

So, the vertex is (2,13) .

The y -intercept of the graph of the equation is equal to the value of c . So, the y -intercept of the graph of the equation is 5.

Therefore, the vertex, the equation of the axis of symmetry, and the y -intercept of the graph of the equation y=2x2+8x+5 are (2,13) , x=2 and 5, respectively.

Chapter SH Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

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. 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. 2.26EPCh. SH - Prob. 2.27EPCh. SH - Prob. 2.28EPCh. 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. 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. 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. 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. 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. 7.26EPCh. SH - Prob. 7.27EPCh. SH - Prob. 7.28EPCh. SH - Prob. 7.29EPCh. SH - Prob. 7.30EPCh. SH - Prob. 7.31EPCh. SH - Prob. 7.32EPCh. SH - Prob. 7.33EPCh. SH - Prob. 7.34EPCh. SH - Prob. 7.35EPCh. SH - Prob. 7.36EPCh. SH - Prob. 7.37EPCh. 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. 8.20EPCh. SH - Prob. 8.21EPCh. SH - Prob. 8.22EPCh. SH - Prob. 8.23EPCh. SH - Prob. 8.24EPCh. SH - Prob. 8.25EPCh. SH - Prob. 8.26EPCh. SH - Prob. 8.27EPCh. SH - Prob. 8.28EPCh. SH - Prob. 8.29EPCh. SH - Prob. 8.30EPCh. SH - Prob. 8.31EPCh. SH - Prob. 8.32EPCh. SH - Prob. 8.33EPCh. SH - Prob. 8.34EPCh. SH - Prob. 8.35EPCh. SH - Prob. 8.36EPCh. SH - Prob. 8.37EPCh. SH - Prob. 8.38EPCh. SH - Prob. 8.39EPCh. SH - Prob. 8.40EPCh. 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. 9.22EPCh. SH - Prob. 9.23EPCh. SH - Prob. 9.24EPCh. SH - Prob. 9.25EPCh. SH - Prob. 9.26EPCh. SH - Prob. 9.27EPCh. SH - Prob. 9.28EPCh. SH - Prob. 9.29EPCh. SH - Prob. 9.30EPCh. SH - Prob. 9.31EPCh. 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. 10.11EP
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