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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Q3:
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 ?
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 ?
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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
Q19:
The figure below represents the function . Find the area of triangle given .
Q20:
Two siblings are 3 years apart in age. Write an equation for , the product of their ages, in terms of , the age of the younger sibling.
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Q21:
A cell phone company has the following cost and revenue functions: and , where is the number of cell phones. State the range for the number of cell phones they can produce while making a profit. Round your answers to the nearest integer that guarantees a profit.
- A28β70 cell phones
- BMore than 160 cell phones
- C28β71 cell phones
- D27β70 cell phones