Explanation Given: The equation is, y = x 2 − 3 x − 10 …… (1) Graph: The x coordinate of vertex of the parabola is calculated as, x = − b 2 a …… (2) Substitute − 3 for b and 1 for a in equation (2), x = − ( − 3 ) 2 ⋅ 1 = 3 2 = 1.5 Substitute 1.5 for x in equation (1) to find the y coordinate of vertex of the parabola, y = ( 1.5 ) 2 − 3 ( 1.5 ) − 10 = 2.25 − 4.5 − 10 = − 12.25 Since, a > 0 . Hence, the vertex of the parabola is ( 1.5 , − 12.25 ) and it opens upward. Find the intercept of x , Substitute 0 for y in equation (1), x 2 − 3 x − 10 = 0 Factorize the above equation, x 2 − ( 5 − 2 ) x − 10 = 0 x 2 − 5 x + 2 x − 10 = 0 x ( x − 5 ) + 2 ( x − 5 ) = 0 ( x + 2 ) ( x − 5 ) = 0 Set each factor of above equal to 0 , First root, x + 2 = 0 x = − 2 Second root, x − 5 = 0 x = 5 Find the ordered pair to plot the graph, Substitute − 1...

Video Workbook With The Math Coach For Beginning Algebra: Early Graphing

4th Edition

ISBN: 9780134592015

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Question

Chapter 9, Problem 7YT

To determine

To graph: The vertex of the parabola.

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Chapter 9, Problem 6YT

Chapter 9, Problem 8YT

Chapter 9 Solutions

Video Workbook With The Math Coach For Beginning Algebra: Early Graphing

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Prob. 30PFE Ch. 9 - Prob. 31PFE Ch. 9 - Prob. 32PFE Ch. 9 - The area of a triangle is 68 square meters.The...

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