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0 This part of the question concerns the quadratic function y =x+14x +36. %3D (i) Write the quadratic expression r+14T + 36 in completed-square form. (ii) Use the completed-square form from part (c)(i) to solve the equation r +14x +36 = 0, leaving your answer in exact (surd) form. |3D iii) Use the completed-square form from part (c)(i) to write down the COordinates of the vertex of the parabola y = x +14x+ 36. %3D

0 This part of the question concerns the quadratic function y =x+14x +36. %3D (i) Write the quadratic expression r+14T + 36 in completed-square form. (ii) Use the completed-square form from part (c)(i) to solve the equation r +14x +36 = 0, leaving your answer in exact (surd) form. |3D iii) Use the completed-square form from part (c)(i) to write down the COordinates of the vertex of the parabola y = x +14x+ 36. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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) This part of the question concerns the quadratic function y =x+14x + 36. (i) Write the quadratic expression x2 +14x +36 in completed-square form. (ii) Use the completed-square form from part (c)(i) to solve the equation r + 14x +36 = 0, leaving your answer in exact (surd) form. (iii) Use the completed-square form from part (c)(i) to write down the coordinates of the vertex of the parabola y = x2 +14x+ 36. iv) Provide a sketch of the graph of the parabola y = x+ 14x + 36- either by hand or by using a suitable graphing software package like Graphplotter. If you intend to go on to study more mathematics, then you ar advised to sketch by hand (for the practice). Whichever methce choose, you should refer to the graph-sketching strategy box in Subsection 2.4 of Unit 10 for information on how to sketch an label a graph correctly
Transcribed Image Text:) This part of the question concerns the quadratic function y =x+14x + 36. (i) Write the quadratic expression x2 +14x +36 in completed-square form. (ii) Use the completed-square form from part (c)(i) to solve the equation r + 14x +36 = 0, leaving your answer in exact (surd) form. (iii) Use the completed-square form from part (c)(i) to write down the coordinates of the vertex of the parabola y = x2 +14x+ 36. iv) Provide a sketch of the graph of the parabola y = x+ 14x + 36- either by hand or by using a suitable graphing software package like Graphplotter. If you intend to go on to study more mathematics, then you ar advised to sketch by hand (for the practice). Whichever methce choose, you should refer to the graph-sketching strategy box in Subsection 2.4 of Unit 10 for information on how to sketch an label a graph correctly
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