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Worksheet: Completing the Square
Q4:
Given that , what are the values of , , and ?
- A , ,
- B , ,
- C , ,
- D , ,
- E , ,
Q5:
What is the vertex form of the function ?
- A
- B
- C
- D
- E
Q8:
Write the equation in completed square form.
- A
- B
- C
- D
- E
Q9:
Write the equation in the form .
- A
- B
- C
- D
- E
Q10:
Write the equation in the form .
- A
- B
- C
- D
- E
Q11:
Write the equation in the form .
- A
- B
- C
- D
Q13:
Write the equation in the form .
- A
- B
- C
- D
- E
Q14:
Write the equation in the form .
- A
- B
- C
- D
- E
Q15:
Write the equation in the form .
- A
- B
- C
- D
- E
Q16:
Write the equation in the form .
- A
- B
- C
- D
- E
Q17:
Write the equation in the form .
- A
- B
- C
- D
- E
Q18:
Write the equation , where , in the form .
- A
- B
- C
- D
- E
Q19:
Which of the following equations can be transformed into the equation by expanding, rearranging, and multiplying by a scalar?
- A
- B
- C
- D
- E
Q20:
Given that can be written in the form , find the value of .
- A
- B
- C3
- D
- E
Q21:
Find the values of for which the equation is satisfied by only one value of .
- A
- B
- C
- D
- E
Q22:
Given that and , find the value of .
Q23:
Which of the following equations can be expanded and rearranged to ?
- A
- B
- C
- D
- E
Q24:
By writing in the form , determine when the equation has no real roots.
- A when
- B when or
- C when
- D when
- Ewhen
Q25:
Completely factor .
- A
- B
- C
- D
- E