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QMi1500 Assignment 4 semester 2 2022

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QMi1500 Assignment 4 semester 2 2022 The Document contains assignment 4 questions and answers QMI1500 Mock Exam Distinction guaranteed

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  • October 3, 2022
  • 53
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers

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THE ORDER OF THE QUESTIONS IN MOODLE MAY DIFFER TO THE ORDER OF
THE QUESTIONS IN THIS DOCUMENT.

EXAMPLE: QUESTION 1 IN THIS DOCUMENT MAY BE QUESTION 20 IN MOODLE,
THE PLATFORM YOU ARE GOING TO SUBMIT YOUR ASSIGNMENT ON.

QUESTION 1

The equation of quadratic function is given below: y = f (x) = 4x2 - 8x + 3 Determine the
vertex coordinates, the discriminant of the function, the x-intercept(s) and y-intercept(s)
that the parabola has. Choose the correct answer.

a. Vertex = (1, -1), discriminant = 4, the x-intercepts = (4, 0) and (8, 0), and y-
intercepts = (0, 8).
b. Vertex = (1, -1), discriminant = 16, the x-intercepts = (0.5, 0) and (1.5, 0), and
y-intercepts = (0; 3).
c. Vertex = (0.5, 1.5), discriminant = 137, the x-intercepts = (1, -1) and (0, 0), and y-
intercepts = (0, 4).
d. Vertex = (8, 4), discriminant = 112, the x-intercepts = (0, 1.5) and (0, 0.5), and y-
intercepts = (3, 0).




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QUESTION 2

Parabolas I, II and III below are described by the three quadratic functions:




Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is”
without any representations or warranties, express or implied. The author assumes no liability as
a result of reliance and use of the contents of this document. This document is to be used for
comparison, research and reference purposes ONLY. No part of this document may be
reproduced, resold or transmitted in any form or by any means.

Downloaded by: ExpertAcademy | vukulu77@gmail.com
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Calculate the determinant of each quadratic function. Use the properties of the
determinant and the number of z-Intercepts that the parabolas have, to match each
parabola with its correct quadratic function. Choose the correct statement.

a. Parabola I Is described by 1, II by 2 and III by 3.
b. Parabola I is described by 2, II by 3 and III by 1.
c. Parabola I Is described by 3, II by 1 and III by 2.
d. Parabola I is described by 1, II by 3 and III by 2.



QUESTION 3

The shape of the letter A in the advertisement board of a restaurant along the highway
can be modelled by the quadratic function

𝑦 = −𝑥 2 + 6𝑧 − 5

where and y are in meters. Point S is the highest point of the letter and point C is the
lowest point of the letter:




Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is”
without any representations or warranties, express or implied. The author assumes no liability as
a result of reliance and use of the contents of this document. This document is to be used for
comparison, research and reference purposes ONLY. No part of this document may be
reproduced, resold or transmitted in any form or by any means.

Downloaded by: ExpertAcademy | vukulu77@gmail.com
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The highest vertical point of the letter A, rounded to the nearest meter, is

a. 9m
b. 3m
c. 4m
d. 8m




Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is”
without any representations or warranties, express or implied. The author assumes no liability as
a result of reliance and use of the contents of this document. This document is to be used for
comparison, research and reference purposes ONLY. No part of this document may be
reproduced, resold or transmitted in any form or by any means.

Downloaded by: ExpertAcademy | vukulu77@gmail.com
Distribution of this document is illegal

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