QMI1500 ASSIGNMENT 2
SEMESTER 1 - 2022
UNIQUE NUMBER: 746467
DUE DATE: 14 MARCH 2022
,1
, QUESTION 1
The equations of three quadratic functions are given below:
Determine the discriminant of each function and the number of x-intercepts that the
parabola has. Choose the correct sentence. The function described in
[1] (i) has no discriminant and the parabola has no x-intercepts
[2] (ii) has a negative discriminant and the parabola has two x-intercepts
[3] (i) has a zero discriminant and the parabola has one x-intercept
[4] (iii) has a positive discriminant and the parabola has one x-intercept
i.
For :
The discriminant [ ]
Therefore, it has only one x – intercept: (0; 0)
ii.
The discriminant [ ]
Therefore, it has two x – intercepts: (0 0)
iii.
The discriminant [ ]
Therefore, it has two x – intercepts: (0 0)
In conclusion, i. has a zero discriminant and the parabola has one x-intercept.
2
SEMESTER 1 - 2022
UNIQUE NUMBER: 746467
DUE DATE: 14 MARCH 2022
,1
, QUESTION 1
The equations of three quadratic functions are given below:
Determine the discriminant of each function and the number of x-intercepts that the
parabola has. Choose the correct sentence. The function described in
[1] (i) has no discriminant and the parabola has no x-intercepts
[2] (ii) has a negative discriminant and the parabola has two x-intercepts
[3] (i) has a zero discriminant and the parabola has one x-intercept
[4] (iii) has a positive discriminant and the parabola has one x-intercept
i.
For :
The discriminant [ ]
Therefore, it has only one x – intercept: (0; 0)
ii.
The discriminant [ ]
Therefore, it has two x – intercepts: (0 0)
iii.
The discriminant [ ]
Therefore, it has two x – intercepts: (0 0)
In conclusion, i. has a zero discriminant and the parabola has one x-intercept.
2
