wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Transforming quadratic function into vertex form

Total questions: 8

Worksheet time: 11mins

Name
Class
Date
1.

1. Which of the following is the vertex form of a quadratic function?

a)

a. y = (x + 2) – 3

b)

b. y = 2(x + 3) ² – 2

c)

c. y = x ² + 2x + 1

d)

d. y = x ² – 2

2.

2. Which of the following is the general form of a quadratic function?

a)

a. y = (x + 2) – 3

b)

b. y = 2(x + 3) ² – 2

c)

c. y = x ² + 2x + 1

d)

d. y = x ² – 2

3.

3. The formula to find the h in the standard form of a quadratic function.

a)

a. – b / 2a

b)

b. 4ac – b ² / 4a

c)

c. b / 2a

d)

d. b ² – 4ac / 2a

4.

4. The formula to find the k in the standard form of a quadratic function.

a)

a. – b / 2a

b)

b. 4ac – b ² / 4a

c)

c. b / 2a

d)

d. b ² – 4ac / 2a

5.

5. The quadratic function y = x ² + 2x – 1 when expressed in the form of y = a(x – h) ² + k is _________

a)

a. f(x) = (x + 1) ² + 1

b)

b. f(x) = (x + 1) ² – 2

c)

c. f(x) = (x + 1) + 1

d)

d. f(x) = (x + 1) ² – 1

6.

6. What is the vertex of the function y = (x - 3)2 + 5

a)

(-3, 5)

b)

(3, -5)

c)

(-3, -5)

d)

(3, 5)

7.

7. Convert the equation y= x2-2x-5 into vertex form.

a)

y= (x-1)2-6

b)

y= -(x-1)2-6

c)

y= (x+1)2-6

d)

y= -(x+6)2-1

8.

8. Which of the following shows

y= x2 + 12x - 2

written in vertex form?

a)

y = (x + 6)2 + 142

b)

y = (x + 6)2 - 34

c)

y = (x + 6)2 - 38

d)

y = (x + 6)2 + 34