Completing The Square Worksheet With Answer Key
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36.1 Completing the Square Worksheet
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Standard Form: y = ax
+ bx + c --------------------> Vertex Form: y = a(x-h)
+k
For each quadratic that is in standard form, determine the value of ‘c’ that makes each expression a perfect
square trinomial (remember, the ‘c’ value is half of the ‘b’ value squared)
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1)
3)
y = x
+ 4x + c
y = x
- 20x + c
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2)
4)
y = x
+ 14x + c
y = x
- 30x + c
Find the vertex of each parabola by completing the square. State if the vertex is a maximum or minimum point
[remember: the vertex of a parabola in vertex form is (h,k) ]
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5)
6)
y = x
+ 10x + 15
y = x
– 8x – 4
vertex: ___________ max or min: ____________
vertex: ___________ max or min: ____________
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