Worksheet: Quadratic Functions in Different Forms
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
