WorksheetsKey Features of Quadratic Graphs (Parabolas)
Total questions: 45
Worksheet time: 1hrs 8mins
When did the ball reach its maximum height? Choose the key feature and the answer.
y-intercept, 3 secs
x-value of the vertex, 4 secs
y-value of the vertex, 5 secs
y-intercept, 0 secs
What was the maximum height of the ball? Choose the key feature and the answer choice.
y-intercept, 3 feet
y-intercept, 0 feet
x-value of the vertex, 4 feet
y-value of the vertex, 5 feet
How high was the ball when it was thrown? Choose the key feature and the answer.
y-intercept, 0 feet
y-intercept, 3 feet
x-value of the vertex, 4
y-value of the vertex 5
What was the height of the ball at 1 second?
3 feet
4 feet
5 feet
When did the water reach its maximum height? Choose the key feature and the answer.
x-value of vertex, 2 seconds
y-value of vertex, 9 seconds
y-intercept, 0 seconds
x-intercept, 3.8 seconds
What was the maximum height of the water? Choose the key feature and the answer.
y-intercept, 0 feet
x-value of the vertex, 2 feet
y-value of the vertex 10 feet
x-intercept. 3.85 feet
What was the height of the water at 3 seconds?
9 feet
10 feet
7 feet
5 feet
Approximately how long did it take the water from the fountain to hit the pool below?
about 1.85 second
about 2.85 seconds
about 3.85 seconds
about 4.85 seconds
Approximately when did the ball hit the ground?
3.25 seconds
4.25 seconds
8.25 seconds
10.25 seconds
What key feature tells the initial height of the roller coaster?
y-intercept
x-intercept
axis of symmetry
vertex
What was the approximate initial height of the roller coaster?
150
120
100
50
What key feature tells the lowest point on the roller coaster?
y-intercept
vertex
Axis of Symmetry
x-intercept
What is the approximate lowest height of the roller coaster?
120 feet
3 feet
25 feet
170 feet
What was the height of the roller coaster at 6 seconds?
120 feet
50 feet
25 feet
100 feet
What is the sign of the "a" value for this graph?
positive
Negative
What is the sign of the "a" value for this graph
negative
positive
Does this scenario have a max or a min?
Max
Min
What is the equation for the axis of symmetry?
x = b / 2
x = 2a / -b
x = 2 / b
x = -b / 2a
How do I find the y-value of the vertex?
factor
x = -b / 2a gives you the y-value of the vertex
find x = -b / 2a and then plug in for x and solve for y.
find -b / 2a and then plug in for y and solve for x.
Define X-intercept
The highest or lowest point on the graph
Where the parabola touches or intersects the x-axis
Where the parabola touches or intersects the y-axis
A line that divides the graph into two equal parts. i.e. cuts the graph in half
Define Y-intercept
Where the parabola touches or intersects the x-axis, also called the x-intercept
The lowest y-value on the graph
The highest y-value on the graph
Where the parabola touches or intersects the y-axis
Define Zero
Where the parabola touches or intersects the x- axis, also called the x-intercept
A line that divides the graph into two equal parts. i.e. cuts the graph in half
The highest or lowest point on the graph
Where the parabola touches or intersects the y-axis
Define Maximum
The highest or lowest point on the graph
The highest y-value on the graph
The lowest y-value on the graph
A line that divides the graph into two equal parts. i.e. cuts the graph in half
Define Minimum
The highest y-value on the graph
Where the parabola touches or intersects the y-axis
Where the parabola touches or intersects the x-axis, also called the x-intercept
The lowest y-value on the graph
Define Vertex
Where the parabola touches or intersects the x-axis
The highest or lowest point on the graph
Where parabola line touches or intersects the x- axis, also called the x-intercept
A line that divides the graph into two equal parts. i.e. cuts the graph in half
Define Axis Of Symmetry
A line that divides the graph into two equal parts. i.e. cuts the graph in half
Where the parabola touches or intersects the x-axis, also called the x-intercept
The highest y-value on the graph
The highest or lowest point on the graph
Define Roots
Where the parabola touches or intersects the y-axis
The lowest y-value on the graph
Where the parabola touches or intersects the x-axis, also called the x-intercept
A line that divides the graph into two equal parts. i.e. cuts the graph in half
Define Solution
The highest y-value on the graph
Where the parabola touches or intersects the y-axis
The highest or lowest point on the graph
Where the parabola touches or intersects the x-axis, also called the x-intercept
Define Roots, Zeros, X-intercept, and Solutions
Where the parabola touches or interests the x-axis
Where the parabola touches or interests the y-axis
What is the vertex?
(-3, 0)
(3, 0)
(0, 18)
(18, 0)
What is the equation of the axis of symmetry?
y = 0
x = 0
x = 3
x = -3
What is the significance of the ordered pair (0, -2) to the graph?
It is the vertex
It is an x-intercept
It is the y-intercept
It is the axis of symmetry
What is the significance of the ordered pair (2, -4) to the graph?
It is the vertex
It is an x-intercept
It is the y-intercept
It is the axis of symmetry
Which statement about the graph is FALSE?
The vertex is (-3, 18)
The vertex is a maximum
The y-intercept is y = 0
The axis of symmetry is y = -3
What is the significance of the ordered pair (1, -2) to the graph?
It is the maximum point
It is the vertex
It is the y-intercept
It is an x-intercept
What is the significance of the ordered pair (3, 0) to the graph?
It is the maximum point
It is the vertex
It is the y-intercept
It is an x-intercept
What is the significance of the ordered pair (0, -1.5) to the graph?
It is the maximum point
It is the vertex
It is the y-intercept
It is an x-intercept
