Mcr3u Unit 1, Lesson 2 - A Review Of "Completing The Square" And Vertex Form Worksheet With Answers - Saugeen District Secondary School Page 3
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1
2
3Problems for Lesson 2
1. Find the vertex for the following quadratic relationships by completing the square.
a) �� = ��
− 4�� + 5
b) �� = 2��
+ 16�� + 30
c) �� = −3��
+ 9�� − 2
2
2
2
e) �� = 3 ( �� − 1 )( �� + 1 ) − 4��
d) �� = 3��
− �� + 1
2
2
2. Solve each of the following.
a) ��
+ 9�� + 8 = 0
��
+ 5�� − 2 = −10
c) 5��
− 2�� = 50 d) 0 = 27��
− 12
1
2
2
2
2
2
b)
3. Find the x-intercept and y-intercepts for the graph �� = 5��
+ 7�� − 6
2
ANSWERS
c) �� ≈ −2.97,3.37
d) �� = ±
2
1. a) (2, 1) b) (-4,-2)
c) (3/2,19/4) d) (1/6,11/12) e) (0,-3)
3
2. x=-1,-8 b) x=-2,-8
3. y-int at (0,-6) x-ints at (-2,0) and (3/5,0)
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