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Quadratic Function part 1 math 9

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Quadratic function is any function of the form: , where a, b and c are real numbers and ____________________.

a)

A. a ǂ 0

b)

B. a < 0

c)

C. a = 0

d)

D. a ≥ 0

2.

The graph of a quadratic function is a smooth curve called

a)

A. Line

b)

B. Circle

c)

C. V-Shape

d)

D. Parabola

3.

Which of the following is a quadratic function?

a)

A. y - 4x = 2x2 + 5

b)

B. 2x2 - 4x + 5 = 0

c)

C. 2x + y = 5

d)

D. y2 = 4x + 5

4.

Which of the following table of values represent a quadratic function?

a)
b)
c)
d)
5.

Which of the following graph describes a quadratic function 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐 with 𝑎 > 0?

a)
b)
c)
d)
6.

Using the function form 𝑓(𝑥) = 𝑎𝑥2 + 𝑏𝑥 + 𝑐, which of the following are the values of a, b, and c of the function 𝑦 = 3 − 5𝑥2 + 4𝑥?

a)

A. 𝑎 = 3 ,𝑏 = – 5 , 𝑐 = 4

b)

B. 𝑎 = – 5 , 𝑏 = 3 , 𝑐 = 4

c)

C. 𝑎 = – 5 , 𝑏 = 4 , 𝑐 = 3

d)

D. 𝑎 = 4, 𝑏 = 3 , 𝑐 = – 5

7.

Express 𝑓(𝑥) = −3(𝑥 + 1)2 + 4, in the form 𝑓(𝑥) = 𝑎𝑥2 + 𝑏𝑥 + 𝑐 ?

a)

A. 𝑓(𝑥) = −3𝑥2 − 3𝑥 − 1

b)

B. 𝑓(𝑥) = −3𝑥2 − 6𝑥 − 1

c)

C. 𝑓(𝑥) = −3𝑥2 − 3𝑥 + 1

d)

D.D. 𝑓(𝑥) = −3𝑥2 − 6𝑥 + 1

8.

If 𝑓(𝑥) = (𝑥 + 2)2 − 5 is written in the form 𝑓(𝑥) = 𝑎𝑥2 + 𝑏𝑥 + 𝑐 , find a + b – c ?

a)

A. 14

b)

B. 6

c)

C. 4

d)

D. 0

9.

What must be the value of n so that the term 𝑥1−𝑛 is of degree 2 ?

a)

A. -2

b)

B. -1

c)

C. 0

d)

D. 1

10.

Which must be the value of (h, k) in the quadratic function 𝑦 = 2(𝑥 − 3) 2+ 4 ?

a)

A) (–3, –4)

b)

B) (–3, 4)

c)

C) (3, –4)

d)

D) (3, 4)