8/19/22, 8:57 AM Assessment 2: Attempt review
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Dashboard / My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
Started on Thursday, 18 August 2022, 5:08 PM
State Finished
Completed on Thursday, 18 August 2022, 5:18 PM
Time taken 10 mins 5 secs
Question 1
Complete
Marked out of 1.00
The equation of quadratic function is given below:
2
y = f (x) = 4x − 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 = (8, 4), discriminant = 112, the x-intercepts = (0, 1.5) and (0, 0.5), and y -intercepts = (3, 0).
b. Vertex = (0.5, 1.5), discriminant = 137, the x-intercepts = (1, -1) and (0, 0), and y -intercepts = (0, 4).
c. Vertex = (1, -1), discriminant = 4, the x-intercepts = (4, 0) and (8, 0), and y -intercepts = (0, 8).
d. Vertex = (1, -1), discriminant = 16, the x-intercepts = (0.5, 0) and (1.5, 0), and y -intercepts = (0; 3).
https://mymodules.dtls.unisa.ac.za/mod/quiz/review.php?attempt=4856830&cmid=220110 1/15
,8/19/22, 8:57 AM Assessment 2: Attempt review
Question 2
Complete
Marked out of 1.00
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Parabolas I, II and III below are described by the three quadratic functions:
Dashboard /2 My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
1: y = x − 3 12
2: y = x
2
− 6x + 10
3: y =
1
x
2
−
9
x + 7
1
2 2 8
https://mymodules.dtls.unisa.ac.za/mod/quiz/review.php?attempt=4856830&cmid=220110 2/15
,8/19/22, 8:57 AM Assessment 2: Attempt review
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Dashboard / My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
Calculate the determinant of each quadratic function. Use the properties of the determinant and the number of x-intercepts that the
parabolas have, to match each parabola with its correct quadratic function. Choose the correct statement.
a. Parabola I is described by 2, II by 3 and III by 1.
b. Parabola I is described by 1, II by 2 and III by 3.
c. Parabola I is described by 1, II by 3 and III by 2.
d. Parabola I is described by 3, II by 1 and III by 2.
https://mymodules.dtls.unisa.ac.za/mod/quiz/review.php?attempt=4856830&cmid=220110 3/15
, 8/19/22, 8:57 AM Assessment 2: Attempt review
Question 3
Complete
Marked out of 1.00
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The shape of the letter A in the advertisement board of a restaurant along the highway can be modelled by the quadratic function
Dashboard /2 My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
y = −x + 6x − 5,
where x and y are in metres. Point B is the highest point of the letter and point C is the lowest point of the letter:
The highest vertical point of the letter A, rounded to the nearest meter, is
a. 8m
b. 9m
c. 4m
d. 3m
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MENU
Dashboard / My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
Started on Thursday, 18 August 2022, 5:08 PM
State Finished
Completed on Thursday, 18 August 2022, 5:18 PM
Time taken 10 mins 5 secs
Question 1
Complete
Marked out of 1.00
The equation of quadratic function is given below:
2
y = f (x) = 4x − 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 = (8, 4), discriminant = 112, the x-intercepts = (0, 1.5) and (0, 0.5), and y -intercepts = (3, 0).
b. Vertex = (0.5, 1.5), discriminant = 137, the x-intercepts = (1, -1) and (0, 0), and y -intercepts = (0, 4).
c. Vertex = (1, -1), discriminant = 4, the x-intercepts = (4, 0) and (8, 0), and y -intercepts = (0, 8).
d. Vertex = (1, -1), discriminant = 16, the x-intercepts = (0.5, 0) and (1.5, 0), and y -intercepts = (0; 3).
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,8/19/22, 8:57 AM Assessment 2: Attempt review
Question 2
Complete
Marked out of 1.00
MENU
Parabolas I, II and III below are described by the three quadratic functions:
Dashboard /2 My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
1: y = x − 3 12
2: y = x
2
− 6x + 10
3: y =
1
x
2
−
9
x + 7
1
2 2 8
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,8/19/22, 8:57 AM Assessment 2: Attempt review
MENU
Dashboard / My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
Calculate the determinant of each quadratic function. Use the properties of the determinant and the number of x-intercepts that the
parabolas have, to match each parabola with its correct quadratic function. Choose the correct statement.
a. Parabola I is described by 2, II by 3 and III by 1.
b. Parabola I is described by 1, II by 2 and III by 3.
c. Parabola I is described by 1, II by 3 and III by 2.
d. Parabola I is described by 3, II by 1 and III by 2.
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, 8/19/22, 8:57 AM Assessment 2: Attempt review
Question 3
Complete
Marked out of 1.00
MENU
The shape of the letter A in the advertisement board of a restaurant along the highway can be modelled by the quadratic function
Dashboard /2 My courses / QMI1500-22-S2 / Welcome Message / Assessment 2
y = −x + 6x − 5,
where x and y are in metres. Point B is the highest point of the letter and point C is the lowest point of the letter:
The highest vertical point of the letter A, rounded to the nearest meter, is
a. 8m
b. 9m
c. 4m
d. 3m
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