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Converting Quadratics Vertex to Standard

Total questions: 8

Worksheet time: 8mins

Name
Class
Date
1.

What is the equation of this graph?

a)

f(x) = (x -5)2 + 1

b)

f(x) = (x - 1)2 - 5

c)

f(x) = (x + 1)2 - 5

d)

f(x) = (x + 5)2 +1

2.

Convert to vertex form.

a)

y=2(x+3)2 - 9

b)

y=2(x-3)2 - 9

c)

y=2(x+6)2 - 9

d)

y=2(x-6)2 - 9

3.

Which function is equivalent to
y = x2 - 6x + 10?

a)

y = (x + 3)2 - 1

b)

y = (x - 3)2 + 1

c)

y = (x + 6)2 - 10

d)

y = (x - 6)2 + 10

4.

Convert the equation y= x2 + 4x + 11 into vertex form.

a)

y = (x + 2)2 - 4

b)

y = (x + 2)2 + 7

c)

y = (x + 2)2

d)

y = (x - 2)2 - 7

5.

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

6.

Convert to vertex form. y = -2x2 + 24x + 5

a)

y=-2(x+12)2 + 77

b)

y=-2(x-12)2 + 77

c)

y=-2(x-6)2 + 77

d)

y=-2(x+6)2 + 77

7.

Write the following quadratic expression in completed square form...


x2 + 8x + 2

a)

(x + 4)2 - 14

b)

(x + 4)2 - 6

c)

(x + 4)2 - 18

d)

(x + 4)2 + 6

8.

Write the following quadratic expression in completed square form...


x2 + 10x + 13

a)

(x + 5)2 - 12

b)

(x + 5)2 + 3

c)

(x + 5)2 + 12

d)

(x + 5)2 - 15