WorksheetsKey Features of Graphs of Quadratic Functions
Total questions: 15
Worksheet time: 15mins
What is the vertex?
(-1, -1)
(-3, 0)
(0, 0)
(1, 3)
Which of the following are the solution(s)? Check all that apply.
(-3, 0)
(-2, 0)
(0, 0)
(4, 0)
Given y=−(x+1)2+4
The graph has a
Maximum
Minimum
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
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 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
Which of the statements about the graph is FALSE?
The vertex is a maximum
There are two zeros at x = -3 and x = 3
The y-intercept is (0, 18)
The range is y ≥ 18
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
Determine the domain and range of the function
Domain: All real numbers, Range: All real numbers
Domain: x ≥ -4, Range: All real numbers
Domain: All real numbers, Range: y ≥ -4
Domain: -1 ≤ x ≤ 5, Range: y ≥ -4
State the domain and range.
Domain: All real numbers, Range: y ≥ -9
Domain: All real numbers, Range: All real numbers
Domain: x ≥ -8, Range: y ≥ -9
Domain: x ≥ -8, Range: All real numbers
What are the zeros of the function? Choose all that apply.
(0, 0)
(-3, 0)
(-6, 0)
(18,0)
(-3, 18)
The height of a basketball after it bounces is represented by h(t) = -8t2 + 50t where h represents the height, in feet, and t represents the number of seconds that have passed since the ball bounced off the ground.
What represents the domain of this function?
Height in feet
Height in inches
Number of seconds that have passed
Number of basketballs
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
y = -2
x = 3
x = -3
y = 2
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
What is the vertex?
(-3, 0)
(3, 0)
(0, 18)
(18, 0)
