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Quadratics Review 4.2.2

Total questions: 15

Worksheet time: 29mins

Name
Class
Date
1.

Convert the vertex form of the quadratic into standard form: y = (x - 2)2 + 3

a)

y = x2 + 4x + 7

b)

y = x2 + 4x - 7

c)

y = x2 - 4x + 7

d)

y = x2 - 4x - 1

2.

Convert the vertex form of the quadratic into standard form: y = -(x + 3)2 - 3

a)

y = -x2 - 6x + 12

b)

y = -x2 - 6x - 12

c)

y = x2 + 6x + 12

d)

y = x2 + 6x - 6

3.

Convert the vertex form of the quadratic into standard form: y = 2(x - 3)2 + 2

a)

y = x2 - 12x + 20

b)

y = x2 - 6x + 11

c)

y = 2x2 + 12x + 20

d)

y = 2x2 - 12x + 20

4.

Convert the vertex form of the quadratic into standard form: y = -(x + 4)2 - 5

a)

y = -x2 - 8x - 21

b)

y = x2 - 8x - 21

c)

y = x2 + 8x + 11

d)

y = -x2 + 8x - 21

5.

Which quadratic expression below represents a perfect square?

a)

x2 + 6x + 36

b)

x2 + 6x + 12

c)

x2 + 12x + 12

d)

x2 + 6x + 9

6.

Which quadratic expression below represents a perfect square?

a)

x2 + 8x + 64

b)

x2 + 4x + 16

c)

x2 + 2x + 1

d)

x2 + 2x + 4

7.

Which quadratic expression below represents a perfect square?

a)

x2 - 8x + 16

b)

x2 + 4x + 16

c)

x2 + 3x + 6

d)

x2 + 2x + 4

8.

Convert the following quadratic to vertex form using the "complete the square" strategy.

f(x) = x2 - 6x + 15

a)

f(x) = (x + 3)2 - 6

b)

f(x) = (x + 3)2 + 6

c)

f(x) = (x - 3)2 + 24

d)

f(x) = (x - 3)2 + 6

9.

Convert the following quadratic to vertex form using the "complete the square" strategy.

f(x) = x2 - 14x + 27

a)

f(x) = (x - 7)2 - 22

b)

f(x) = (x + 7)2 - 22

c)

f(x) = (x - 7)2 - 76

d)

f(x) = (x - 7)2 + 22

10.

Convert the following quadratic to vertex form using the "complete the square" strategy.

f(x) = x2 + 10x + 8

a)

f(x) = (x - 5)2 - 17

b)

f(x) = (x + 5)2 - 2

c)

f(x) = (x + 5)2 - 17

d)

f(x) = (x - 5)2 + 17

11.

Factor the following quadratic expression:

x2 + 8x + 7

a)

(x + 7)(x + 1)

b)

(x - 7)(x + 1)

c)

(x + 7)(x - 1)

d)

(x + 4)(x + 2)

12.

Factor the following quadratic expression:

x2 + 2x - 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x - 4)

c)

(x + 6)(x + 4)

d)

(x + 12)(x - 2)

13.

Factor the following quadratic expression:

x2 - 6x + 8

a)

(x + 2)(x - 4)

b)

(x - 2)(x - 4)

c)

(x + 3)(x + 3)

d)

(x + 8)(x - 2)

14.

Which expression shows the correct factorization of the following quadratic expression?

2x2 + 6x - 108

a)

(x + 9)(x - 6)

b)

2(x - 9)(x - 6)

c)

2(x + 9)(x + 6)

d)

(2x + 18)(x - 6)

15.

Which expression shows the correct factorization of the following quadratic expression?

2x2 + 2x - 4

a)

(2x - 2)(2x + 4)

b)

(x - 1)(x + 2)

c)

2(x - 2)(x + 2)

d)

(2x - 2)(x + 2)