# Worksheet: Writing Quadratic Functions in Vertex Form

In this worksheet, we will practice writing a quadratic function in vertex form.

**Q2: **

Find the vertex of the graph of .

- A
- B
- C
- D
- E

**Q3: **

Find the vertex of the graph of .

- A
- B
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- D
- E

**Q4: **

Consider the graph:

Which is the following is the same as the function whose graph is shown?

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- B
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- E

**Q5: **

Determine the quadratic function with the following properties:

- its graph has a vertex at

- A
- B The function does not exist.
- C
- D
- E

**Q6: **

By writing in vertex form, find such that has exactly one solution.

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- B
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- E

**Q7: **

Consider the function where . What is the -coordinate of the vertex of its curve?

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- D

**Q8: **

Find the vertex of the graph of .

- A
- B
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- E

**Q9: **

Rewrite the expression in the form .

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What is the minimum value of the function ?

**Q10: **

Rewrite the expression in the form .

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What is the minimum value of the function ?

**Q11: **

Rewrite the expression in the form .

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What is the maximum value of the function ?

**Q12: **

In completing the square for quadratic function , you arrive at the expression . What is the value of ?

**Q13: **

Which of the following is the vertex form of the function ?

- A
- B
- C
- D
- E

**Q14: **

Find the vertex of the graph of .

- A
- B
- C
- D
- E

**Q15: **

Find the vertex of the graph of .

- A
- B
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- E

**Q16: **

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

**Q17: **

Find the coordinates of the vertex of the curve .

- A
- B
- C
- D
- E

**Q18: **

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