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.
Q3:
Rewrite the expression in the form .
What is the minimum value of the function ?
Q4:
Rewrite the expression in the form .
What is the minimum value of the function ?
Q5:
Find the vertex of the graph of .
Q6:
By writing in vertex form, find such that has exactly one solution.
Q7:
Find the vertex of the graph of .
Q8:
Find the vertex of the graph of .
Q9:
Rewrite the expression in the form .
What is the maximum value of the function ?
Q10:
Determine the quadratic function with the following properties:
Q11:
Find the vertex of the graph of .
Q12:
Find the coordinates of the vertex of the curve .
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 .
Q15:
Which of the following is the vertex form of the function ?
Q16:
Consider the function where . What is the -coordinate of the vertex of its curve?
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.
Q18:
The figure below represents the function . Find the area of triangle given units.