WorksheetsCompleting the Square
Total questions: 10
Worksheet time: 26mins
Name
Class
Date
1.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
2.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
3.
Complete the Square
x2 + 6x - 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
4.
Given: y = 2(x - 5) + 6, the vertex is
a)
(2,-5)
b)
(-5,6)
c)
(2,6)
d)
(5,6)
5.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
6.
Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?
-2(x + 5) + 2
have a minimum or a maximum?
a)
Minimum
b)
Maximum
c)
It has neither.
d)
It has both.
7.
Convert to vertex form.
a)
y=3(x+1)2 - 8
b)
y=3(x-1) 2 - 8
c)
y=3(x+2)2 - 8
d)
y=3(x-2)2 - 8
8.
Convert to vertex form.
a)
y=-2(x+12)2 - 67
b)
y=-2(x-12)2 - 67
c)
y=-2(x-6)2 - 67
d)
y=-2(x+6)2 - 67
9.
Convert to vertex form.
a)
y=1/3(x+3)2 - 29
b)
y=1/3(x-3)2 - 29
c)
y=1/3(x-9)2 - 29
d)
y=1/3(x+9)2 - 29
10.
Which of the following equations shows the vertex form of a quadratic?
a)
x = -b/2a
b)
x = (-b ±√b2 - 4ac)/2a
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
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