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Worksheet: Writing Quadratic Functions in Vertex Form
Q2:
If the area included between the curve of a quadratic function and a horizontal line segment joining any two points lying on it, as shown in the figure below, is calculated by the relation , find the area of the figure included between the -axis and the curve of the quadratic function in square units.
- A square units
- B32 square units
- C square units
- D square units
Q3:
Rewrite the expression in the form .
- A
- B
- C
- D
- E
What is the minimum value of the function ?
Q4:
Rewrite the expression in the form .
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- B
- C
- D
- E
What is the minimum value of the function ?
Q5:
Find the vertex of the graph of .
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- B
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- D
- E
Q6:
By writing in vertex form, find such that has exactly one solution.
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- B
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- D
- E
Q7:
Find the vertex of the graph of .
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- E
Q8:
Find the vertex of the graph of .
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- D
- E
Q9:
Rewrite the expression in the form .
- A
- B
- C
- D
- E
What is the maximum value of the function ?
Q10:
Determine the quadratic function with the following properties:
- its graph has a vertex at
- A
- B The function does not exist.
- C
- D
- E
Q11:
Find the vertex of the graph of .
- A
- B
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- D
- E
Q12:
Find the coordinates of the vertex of the curve .
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- E
Q13:
In completing the square for quadratic function , you arrive at the expression . What is the value of ?
Q14:
Find the vertex of the graph of .
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- B
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Q15:
Which of the following is the vertex form of the function ?
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- B
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- D
- E
Q16:
Consider the function where . What is the -coordinate of the vertex of its curve?
- A
- B
- C
- D
Q17:
In the figure below, the area included between the curve of the quadratic function and the line segment lying on the -axis is calculated by the relation . Represent the function on the same lattice to find the area of the part included between the two functions in area units.
- A13 square units
- B23 square units
- C5 square units
- D27 square units
Q18:
The figure below represents the function . Find the area of triangle given units.