# Lesson Worksheet: Quadratic Functions in Different Forms Mathematics

In this worksheet, we will practice evaluating and writing a quadratic function in different forms.

**Q2: **

Find the vertex of the graph of .

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**Q4: **

Consider the graph:

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

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**Q6: **

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

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**Q7: **

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

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**Q8: **

Find the vertex of the graph of .

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**Q9: **

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 ?

**Q14: **

Find the vertex of the graph of .

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**Q15: **

Find the vertex of the graph of .

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**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.

- A32 square units
- B square units
- C square units
- D square units

**Q17: **

Find the coordinates of the vertex of the curve .

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**Q18: **

In the figure below, the area included between the curve of the quadratic function and the line segment lying on the 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.

- A23 square units
- B13 square units
- C27 square units
- D5 square units