Q1:
Find the coordinates of the vertex of the graph of . State the value of the function at the vertex and determine whether it is a maximum or minimum value.
Q2:
Find the coordinates of the vertex of the graph of . State the value of the function at the vertex and determine whether it is a maximum or minimum value.
Q3:
Find the coordinates of the vertex of the graph of . State the value of the function at the vertex and determine whether it is a maximum or minimum value.
Q4:
The following statements refer to the function . Which statement is true?
Q5:
The graph of the function passes through the point . Given that the minimum value of the function is , and the axis of symmetry is the line , find the the values of , , and .
Q6:
The graph of the quadratic function intersects the -axis at the points and . What is the -coordinate of the vertex of the graph?
Q7:
A ball is hurled upward from the top of a building. Its height in feet at time , in seconds, can be described by the function . How many seconds did it take for the ball to reach its maximum height?
Q8:
For the function , answer the following questions.
Find, by factoring, the zeros of the function.
Identify the graph of .
Write the equation for , the function that describes the yellow graph.
Write the equation for , the function that describes the blue graph.
Q9:
Determine the domain and the range of the function .
Q10:
The function intersects the -axis at the point . Find the value of .
Q11:
What are the coordinates of the vertex of the graph of ?
Q12:
For the function , answer the following questions.
Find, by factoring, the zeros of the function.
Identify the graph of .
Write the equation for , the function that describes the blue graph.
Write the equation for , the function that describes the green graph.
Q13:
Find the coordinates of the vertex of the function .
Q14:
Find the coordinates of the vertex of the function .
Q15:
Find the coordinates of the vertex of the function .
Q16:
Let be the function in the given table and .
β4 | β3 | β2 | β1 | 0 | 1 | 2 | 3 | |
45 | 21 | 5 | β3 | β3 | 5 | 21 | 45 |
Which of the following is true?
Q17:
For the function , answer the following questions.
Find, by factoring, the zeros of the function.
Identify the graph of .
Write the equation for , the function that describes the blue graph.
Write the equation for , the function that describes the green graph.
Q18:
The shown table is that of quadratic function .
0 | 1 | 2 | 3 | 4 | 5 | |
β21 | β5 | 3 | 3 | β5 | β21 |
Which of the following has an axis of symmetry closest to ?
Q19:
Determine the quadratic function with the following properties:
Q20:
A stone is projected vertically upwards. Its height above the ground after seconds is given by Find the maximum height the stone reaches.
Q21:
Determine the domain and the range of the function .
Q22:
Determine the domain and the range of the function .