3.6.4 Practice: Transformations of Parent Functions Practice
Mathematics III Sem 1 Name: Micaela Moro
Date: 3/8/2025
YOUR ASSIGNMENT:
You know that functions can be used to model many real-
world situations. Transformations allow functions to be more
flexible in the situations that they model.
Use the distances shown in the table to sketch your project.
Identify points on the coordinate plane and use these points to
find a function that represents your structure. Finally, confirm
your function using the graphing tool.
Project Radio Telescope Arched Bridge
Distance from toll
booth/control room to
center of bridge/dish: 100 m 100 m
Height of support
structure: 50 m NA
Maximum height/depth: 10 m 20 m
Maximum width: 60 m 60 m
Your choice: (1 point)
_____ Radio Telescope Dish _____ Arched Bridge
Your sketch:
1. Make a sketch of your project. This will be either an
upward or downward turned parabola. Show the
measurements from the table on your sketch. (3 points)
, Gom
20m
Toll
Booth
-om
2. Sketch your project on a coordinate plane. The toll booth
(bridge project) and control room (dish project) should be
located at the origin.
(100 ,
20)
·
(70 0)
,
(130 0)
,
ja
a. First identify the vertex of the parabola. This will be at
the center of the bridge or dish. Label this point with its
coordinates. (1 point)
(100, 20)
Mathematics III Sem 1 Name: Micaela Moro
Date: 3/8/2025
YOUR ASSIGNMENT:
You know that functions can be used to model many real-
world situations. Transformations allow functions to be more
flexible in the situations that they model.
Use the distances shown in the table to sketch your project.
Identify points on the coordinate plane and use these points to
find a function that represents your structure. Finally, confirm
your function using the graphing tool.
Project Radio Telescope Arched Bridge
Distance from toll
booth/control room to
center of bridge/dish: 100 m 100 m
Height of support
structure: 50 m NA
Maximum height/depth: 10 m 20 m
Maximum width: 60 m 60 m
Your choice: (1 point)
_____ Radio Telescope Dish _____ Arched Bridge
Your sketch:
1. Make a sketch of your project. This will be either an
upward or downward turned parabola. Show the
measurements from the table on your sketch. (3 points)
, Gom
20m
Toll
Booth
-om
2. Sketch your project on a coordinate plane. The toll booth
(bridge project) and control room (dish project) should be
located at the origin.
(100 ,
20)
·
(70 0)
,
(130 0)
,
ja
a. First identify the vertex of the parabola. This will be at
the center of the bridge or dish. Label this point with its
coordinates. (1 point)
(100, 20)
