1
Marks: --/10
Which of the following is a quadratic function?
Choose one answer.
a. f(x) = 2x - 9x2 + 7
b. f(x) = 5x + 7
c. f(x) = -2 - 8x
d. f(x) = 1 + 5x3 - 4x2 - 4x
Question 2
Marks: --/10
Show that the following function is a quadratic function by writingit in the form f(x) = ax2 + bx + c and identifying a, b, andc.
f(x) = (x + 6)(x + 5)
Choose one answer.
a. f(x) = x2 + 30; a = 1, b = 0, c = 30
b. f(x) = x2 + 30x + 30; a = 1, b = 30, c = 30
c. f(x) = x2 + 11x + 30; a = 1, b = 11, c = 30
d. f(x) = x2 + 30x + 11; a = 1, b = 30, c = 11
5
Marks: --/10
Which of the following is a quadratic function?
Choose one answer.
a. f(x) = -6 + 7x
b. f(x) = -3x + 3
c. f(x) = -4x3 - 6x2 - 4x - 3
d. f(x) = 9 + 8x2
Question 6
Marks: --/10
Show that the following function is a quadratic function by writingit in the form f(x) = ax2 + bx + c and identifying a, b, andc.
f(x) = (5x + 1)(3x - 1)
Choose one answer.
a. f(x) = 15x2 - 2x - 1; a = 15, b = -2, c = -1
b. f(x) = 15x2 - 8x - 1; a = 15, b = -8, c = -1
c. f(x) = 15x2 - 2x + 1; a = 15, b = -2, c = 1
d. f(x) = 15x2 + 2x - 1; a = 15, b = 2, c = -1
Question 7
Marks: --/10
Show that f(x) - 3 = 5x(-5x + 7) - 6x2 + 4 is a quadratic functionby writing it in the form f(x) = ax2 + bx + c and identifying a, b,and c.
Choose one answer.
a. f(x) = -31x2 + 35x + 7; a = -31, b = 35, c = 7
b. f(x) = -19x2 + 41x + 7; a = -19, b = 41, c = 7
c. f(x) = -31x2 + 30x + 7; a = -31, b = 30, c = 7
d. f(x) = -19x2 + 35x + 1; a = -19, b = 35, c = 1
Question 8
Marks: --/10
Graph the following function and give the approximate coordinatesof the vertex.
f(x) = 8 - 3x - x2
Choose one answer.
a. (-1.5, 10)
b. (10, - 1.5)
c. (1.5, -10)
d. (-1.5, -10)
Question 9
Marks: --/10
State whether the opens up or down and whether the y-coordinate ofthe vertex is the minimum or maximum value of the function.
f(x) = x2 - 6x + 4
Choose one answer.
a. opens up; maximum value
b. opens down; minimum value
c. opens down; maximum value
d. opens down; minimum value
Question 10
Marks: --/10
State whether the opens up or down and whether the y-coordinate ofthe vertex is the minimum or maximum value of the function.
f(x) = -2(x + 4)2 - 3
Choose one answer.
a. opens down; minimum value
b. opens up; maximum value
c. opens down; minimum value
d. opens down; maximum value
1
Marks: --/10
Which of the following is a quadratic function?
Choose one answer.
a. f(x) = 2x - 9x2 + 7
b. f(x) = 5x + 7
c. f(x) = -2 - 8x
d. f(x) = 1 + 5x3 - 4x2 - 4x
Question 2
Marks: --/10
Show that the following function is a quadratic function by writingit in the form f(x) = ax2 + bx + c and identifying a, b, andc.
f(x) = (x + 6)(x + 5)
Choose one answer.
a. f(x) = x2 + 30; a = 1, b = 0, c = 30
b. f(x) = x2 + 30x + 30; a = 1, b = 30, c = 30
c. f(x) = x2 + 11x + 30; a = 1, b = 11, c = 30
d. f(x) = x2 + 30x + 11; a = 1, b = 30, c = 11
5
Marks: --/10
Which of the following is a quadratic function?
Choose one answer.
a. f(x) = -6 + 7x
b. f(x) = -3x + 3
c. f(x) = -4x3 - 6x2 - 4x - 3
d. f(x) = 9 + 8x2
Question 6
Marks: --/10
Show that the following function is a quadratic function by writingit in the form f(x) = ax2 + bx + c and identifying a, b, andc.
f(x) = (5x + 1)(3x - 1)
Choose one answer.
a. f(x) = 15x2 - 2x - 1; a = 15, b = -2, c = -1
b. f(x) = 15x2 - 8x - 1; a = 15, b = -8, c = -1
c. f(x) = 15x2 - 2x + 1; a = 15, b = -2, c = 1
d. f(x) = 15x2 + 2x - 1; a = 15, b = 2, c = -1
Question 7
Marks: --/10
Show that f(x) - 3 = 5x(-5x + 7) - 6x2 + 4 is a quadratic functionby writing it in the form f(x) = ax2 + bx + c and identifying a, b,and c.
Choose one answer.
a. f(x) = -31x2 + 35x + 7; a = -31, b = 35, c = 7
b. f(x) = -19x2 + 41x + 7; a = -19, b = 41, c = 7
c. f(x) = -31x2 + 30x + 7; a = -31, b = 30, c = 7
d. f(x) = -19x2 + 35x + 1; a = -19, b = 35, c = 1
Question 8
Marks: --/10
Graph the following function and give the approximate coordinatesof the vertex.
f(x) = 8 - 3x - x2
Choose one answer.
a. (-1.5, 10)
b. (10, - 1.5)
c. (1.5, -10)
d. (-1.5, -10)
Question 9
Marks: --/10
State whether the opens up or down and whether the y-coordinate ofthe vertex is the minimum or maximum value of the function.
f(x) = x2 - 6x + 4
Choose one answer.
a. opens up; maximum value
b. opens down; minimum value
c. opens down; maximum value
d. opens down; minimum value
Question 10
Marks: --/10
State whether the opens up or down and whether the y-coordinate ofthe vertex is the minimum or maximum value of the function.
f(x) = -2(x + 4)2 - 3
Choose one answer.
a. opens down; minimum value
b. opens up; maximum value
c. opens down; minimum value
d. opens down; maximum value
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