|
(The TI-83+/84+ is the graphing calculator
being referenced on this page.)
| 1. |
Supply students with an equation to enter into
their graphing calculators. Call this function the "parent"
graph. Ask students to perform transformations, or describe
transformations, to the parent graph:
a.) graph the function
with a vertical stretch of factor 1/2 and a translation of 3 units
to the left.
b.) graph the function
with a translation of 6 units to the right.
c.) describe the
transformation that occurred if a new function's equation is

d.) describe the
transformation that occurred if a new function's equation is
 |
 |
|
|
2. |
Provide students with a parent
function, y = x2 -1, and a series of graphs that
show transformations of this parent function. Ask
students to find equations for these transformations, OR ask
students to match these graphs to formulas which you supply.
Possible formulas (not in matching order):
y = (x/2)2 - 1
y = 2 (x2 - 1)
y = (1/2)(x2 - 1) |
|
|
3. |
Create a series of
Transformation Cards to be used with functions. Have
students pick a Transformation Card and a Function Card to
create a quiz, for class review, or to be prepared as a group
activity. Ask for the graphs and the equations involved.
Transformation Cards: |
|
Vertical
stretch of a factor of 2 |
|
|
Translation of 3 units to the right |
|
|
Translation
of 4 units down |
|
|
Horizontal stretch of a factor of 0.25 |
|
| |
Create as many transformation cards as you
have concepts that you wish to review.
Function Cards: |
| |
|
|
|
|
| |
Create enough function cards so that each
student (or group of students)
will be preparing unique answers. |
|
|