This part of the question concerns the quadratic function y = -x2 + x + 2. (1) Write the quadratic expression -x2 + x + 2 in completed-square form showing your working. [2] (ii) Use the completed - square form from part (C) (D) to solve the equation -x2 + x + 2 = 0. [3] (iii) Use the completed - square form from part (C)⑪1) to write down the coordinates of the vertex of the parabola y = -x2+x+2. [1] (iv) Provide a sketch of the graph of the parabola y = -x2+x+2, either by hand or by using a suitable graphing software package like Graphplotter. [3] If you intend to go on to study more mathematics, then you are advised to sketch by hand for the practice. Whichever method you choose, you should refer to the graph - sketching strategy box in Subsection 2.4 of Unit 10 for information on how to sketch and label a graph correctly.
This part of the question concerns the quadratic function y = -x2 + x + 2. (1) Write the quadratic expression -x2 + x + 2 in completed-square form showing your working. [2] (ii) Use the completed - square form from part (C) (D) to solve the equation -x2 + x + 2 = 0. [3] (iii) Use the completed - square form from part (C)⑪1) to write down the coordinates of the vertex of the parabola y = -x2+x+2. [1] (iv) Provide a sketch of the graph of the parabola y = -x2+x+2, either by hand or by using a suitable graphing software package like Graphplotter. [3] If you intend to go on to study more mathematics, then you are advised to sketch by hand for the practice. Whichever method you choose, you should refer to the graph - sketching strategy box in Subsection 2.4 of Unit 10 for information on how to sketch and label a graph correctly.
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 = -x2 + x + 2.
(1) Write the quadratic expression -x2 + x + 2 in completed-square
form showing your working. [2]
(ii) Use the completed - square form from part (C) (D) to solve the
equation -x2 + x + 2 = 0. [3]
(iii) Use the completed - square form from part (C)⑪1) to write down
the
coordinates of the vertex of the parabola y = -x2+x+2. [1]
(iv) Provide a sketch of the graph of the parabola y = -x2+x+2,
either by hand or by using a suitable graphing software package
like Graphplotter. [3] If you intend to go on to study more
mathematics, then you are
advised to sketch by hand for the practice. Whichever method you
choose, you should refer to the graph - sketching strategy box in
Subsection 2.4 of Unit 10 for information on how to sketch and
label a graph correctly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe70a4a2-6b5e-438e-abd3-7c3029330464%2F5c46dc8f-2c51-450d-a8f8-d4f0a66a444b%2Fxb04ed_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This part of the question concerns the quadratic function
y = -x2 + x + 2.
(1) Write the quadratic expression -x2 + x + 2 in completed-square
form showing your working. [2]
(ii) Use the completed - square form from part (C) (D) to solve the
equation -x2 + x + 2 = 0. [3]
(iii) Use the completed - square form from part (C)⑪1) to write down
the
coordinates of the vertex of the parabola y = -x2+x+2. [1]
(iv) Provide a sketch of the graph of the parabola y = -x2+x+2,
either by hand or by using a suitable graphing software package
like Graphplotter. [3] If you intend to go on to study more
mathematics, then you are
advised to sketch by hand for the practice. Whichever method you
choose, you should refer to the graph - sketching strategy box in
Subsection 2.4 of Unit 10 for information on how to sketch and
label a graph correctly.
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