Class 11 Mathematics · Chapter 3 · Test 2
Quadratic Functions Part 2
30 MCQs This set covers sketching quadratic functions with their vertex, intercepts, domain and range, and finding inverses of quadratic functions.
30 questions · 25 min · 30 marks
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Sample questions
The first 5 of 30. Try each one, then tap to see the answer.
Question 1
The vertex of f(x)=x^2-4x is
- A(2; -4)
- B(-2; 4)
- C(4; 0)
- D(0; 0)
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Answer: A
x=-b/2a=2 and f(2)=4-8=-4 so the vertex is (2; -4).
Question 2
The range of f(x)=x^2-4x is
- A(-infinity; -4]
- B[-4; infinity)
- C[4; infinity)
- DAll real numbers
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Answer: B
The vertex (2; -4) is a minimum so the range is [-4; infinity).
Question 3
The x-intercepts of f(x)=x^2-4x are
- A2 and 4
- B0 and -4
- C0 and 4
- DOnly 4
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Answer: C
x^2-4x=x(x-4)=0 gives x=0 and x=4.
Question 4
The minimum value of f(x)=x^2-5x+6 is
- A6
- B1/4
- C-5/2
- D-1/4
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Answer: D
The vertex is at x=5/2 and f(5/2)=25/4-25/2+6=-1/4.
Question 5
The x-intercepts of f(x)=x^2-5x+6 are
- A2 and 3
- B-2 and -3
- C1 and 6
- D-1 and 6
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Answer: A
x^2-5x+6=(x-2)(x-3)=0.
More tests in Theory of Quadratic Functions
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