WorksheetsInterpreting Quadratic Functions
Total questions: 25
Worksheet time: 46mins
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
Minimum value
Slope
Maximum value
If a toy rocket is launched vertically upward from ground level with initial velocity of 128 feet per second, h(t) = -16t2 +128t.
WHEN will the object reach its maximum height?
y = 256
x = 256
y = 4
x = 4
What is the y- intercept for the function y = -8x2 + 3x - 7 ?
Use this formula x =2a−b to determine the axis of symmetry for the following
equation y=4x2- 8x +9
x = -8
x = 1
x = -1
x = 2
What are the x-intercepts{roots/solutions/zeros} of this function
f(x) = (x - 2)(x + 3)?
Does the following quadratic equation f(x) = x2 + 2x - 3,
have a maximum or minimum value?
How can you tell?
Minimum value, because the a value is positive
Maximum value, because the b value is positive
Maximum value, because the a value is positive
Minimum value, because the c value is negative
What does the value of "a" control in a Quadratic Function
f(x) = ax2+ bx+ c ?
Whether the parabola Opens upward or downward
What are the roots{solutions/x-intercepts/zeros}
of the polynomial function?
y = (x + 2)(x - 7)
-2, 7
2, -7
2, 7
-2, -7,
The height of a water balloon that is launched into the air is given by
h(t) = -5x2+20x+25.
What is the Vertex and Maximum height of this function?
(2, 45)
Max height is 45
(2, 45)
Max height is 2
(2, 5)
Max height is 5
(2, 5)
Max height is 2
The height of a water balloon that is launched into the air is given by the function
h(t) = -5t2 + 40t + 2.
FROM WHAT HEIGHT was the balloon released?
2 meters
5 meters
40 meters
20 meters
Samir drops a ball from a third-story window. This equation represents the approximate height in meters, of the ball above the ground after it falls for t seconds. h = -5t2 + 45
WHEN is the ball at ground level?
at t = 0 seconds
at t = 3 seconds
at t = 9 seconds
*Hint: Domain is the set of all x-values included in the function.
What is the range?
y≥−3
y≥−1
All real numbers
y≤−1
What is the range for the function below?
y ≤ 4
y < 4
All real numbers
-3 ≤ y ≤ 1
In this Quadratic Function, what does the coordinate (0, -2), represent?
What is the orange vertical line that cuts parabola in half ?
Line of Solutions
Roots
Vertex
Axis of Symmetry
x<1
x>1
x>-2
x<-2
Classify this function by its DEGREE: 2x2 - 5
x < 1
x > 1
x < 2
x > 2
Domain : -2 ≤ x ≤ 2 Range : y ≤ 4
Domain : All Real Numbers
Range : -2 ≤ y
Domain : All real numbers
Range : y ≤ 4
Range : y ≤ 4
Where is the function increasing?
x > 2
x < 2
y > -2
y < -2
Where is the function decreasing?
x < 3
x < -1
x > -1
x > 3
Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long was the rocket in the air?
1 second
7 seconds
14 seconds
