Name: ________________________
Extended Algebra
We have a “PARABOLEM”
Follow the steps below to create your own quadratic story
Step 1: Pick and circle a quadratic equation from the group below:

𝑦 = −5𝑥 + 10𝑥 + 15


𝑦 = −16𝑥 + 96𝑥
𝑦 = −16𝑡 + 31𝑡 + 2


𝑦 = −5𝑥 + 20𝑥 + 60
𝑦 = −2𝑥 + 4𝑥 + 16
Step 2: Create a table of values that corresponds to the equation you have chosen above.
What x-value should you start with if you are creating a story? ______________
X
Y
Write in the appropriate
ordered pair for the following:
◉ y-intercept:
____________________
◉ x-intercept:
____________________
◉ Vertex:
____________________
Step 3: Graph your equation using the table of values you have created on the following graph.
Make an appropriate scale for your x-axis and y-axis.
On your graph label:
o Units on the x-axis
o Units on the y-axis
o The maximum point
o The zero/root
Step 4: In the space provided below create a story that goes with the equation you have chosen.
(Typically, we use the quadratic that start with 𝑦 = −16𝑥 + ⋯ if we are referring to an object
being tossed, launched, or dropped.)
In your story be sure to include:
-
Initial height
Maximum values with units (… was ____ feet tall at ____ seconds/minutes/hours)
Values of when your object reaches the ground
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
Bonus-Step 6: create two questions based on your story that could be answered using your
equation, table, and graph.
1.
2.
Name: ________________________
Extended Algebra
We have a “PARABOLEM”
Follow the steps below to create your own quadratic story
Step 1: Pick and circle a quadratic equation from the group below:

𝑦 = −5𝑥 + 10𝑥 + 15


𝑦 = −16𝑥 + 96𝑥
𝑦 = −16𝑡 + 31𝑡 + 2


𝑦 = −5𝑥 + 20𝑥 + 60
𝑦 = −2𝑥 + 4𝑥 + 16
Step 2: Create a table of values that corresponds to the equation you have chosen above.
What x-value should you start with if you are creating a story? ______________
X
Y
Write in the appropriate
ordered pair for the following:
◉ y-intercept:
____________________
◉ x-intercept:
____________________
◉ Vertex:
____________________
Step 3: Graph your equation using the table of values you have created on the following graph.
Make an appropriate scale for your x-axis and y-axis.
On your graph label:
o Units on the x-axis
o Units on the y-axis
o The maximum point
o The zero/root
Step 4: In the space provided below create a story that goes with the equation you have chosen.
(Typically, we use the quadratic that start with 𝑦 = −16𝑥 + ⋯ if we are referring to an object
being tossed, launched, or dropped.)
In your story be sure to include:
-
Initial height
Maximum values with units (… was ____ feet tall at ____ seconds/minutes/hours)
Values of when your object reaches the ground
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
Bonus-Step 6: create two questions based on your story that could be answered using your
equation, table, and graph.
1.
2.