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Worksheet: Introduction to Completing the Square
Q7:
Write the equation , where , in the form .
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- E
Q8:
Completely factor .
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Q9:
Which of the following equations can be transformed into the equation by expanding, rearranging, and multiplying by a scalar?
- A
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- E
Q10:
Write the equation in the form .
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- D
Q11:
Write the equation in the form .
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- E
Q12:
Write the equation in completed square form.
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Q13:
Write the equation in the form .
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Q14:
Given that can be written in the form , find the value of .
- A
- B
- C3
- D
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Q15:
Write the equation in the form .
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- D
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Q16:
Find the values of for which the equation is satisfied by only one value of .
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Q17:
Write the equation in the form .
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Q18:
Given that , what are the values of , , and ?
- A , ,
- B , ,
- C , ,
- D , ,
- E , ,
Q19:
Given that and , find the value of .
Q20:
Which of the following equations can be expanded and rearranged to ?
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- E
Q21:
Write the equation in the form .
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Q22:
Write the equation in the form .
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Q23:
What is the vertex form of the function ?
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Q24:
Write the equation in the form .
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Q25:
By writing in the form , determine when the equation has no real roots.
- A when
- B when or
- C when
- D when
- Ewhen