Students' Worksheet : Exponential Function Transformations
Exponential Function Transformation - Student Activity
The exponential function is y = ax , denoted by function f.
The transformed basic function is y = ax+c+ bwith changing the parameter using glider tools.
Note: The 'slider' feature on the x-y coordinate plane can be used to change the a, b, and c values
for the following exercises. To do so, place the cursor and hold it on the dot of the slider and
slide it to the desired m and b values.
To move the slider to a different location on the x-y plane, place the cursor and hold it on the line
of the slider and move it to the desired location.
Note: You can zoom in or out with the mouse.
Exponential Function Transformations #1
Activity #1
Perform the following exponential function transformation:
We do the change of parameter "a". Assume a=2.
The basic function is y=ax , denoted by function f.
Set a=2.
Change the parameter "a" using glider tools.
Observe the transformation of the exponential function.
(1) When a > 1, what the characteristic of the graph?
(2) When 0 < a < 1, what the characteristic of the graph?
(3) What difference between a > 1 and 0 < a < 1 ?
(4) When a = 1, what the characteristic of the graph?
(5) When a = 0, what the characteristic of the graph?
Exponential Function Transformations #2
Activity #2
Perform the following exponential function transformation:
Parameter "b" changing. Assume a=2.
The new function is y= ax + b , denoted by function f.
Set a=2.
Change the parameter "b" using glidder tools.
Observe the transformation of the exponential function.
(1) When b > 0, what the characteristic of the graph? Comparing with the origin y= ax
(2) When b < 0, what the characteristic of the graph? Comparing with the origin y= ax
(3) When b = 0, what the characteristic of the graph? Comparing with the origin y= ax
Exponential Function Transformations #3
Activity #3
Perform the following exponential function transformation:
Parameter "c" changing. Assume a=2.
The new function is y= ax+c , denoted by function f.
Set a=2.
Change the parameter "c" using glidder tools.
Observe the transformation of the exponential function.
(1) When c > 0, what the characteristic of the graph? Comparing with the origin y= ax
(2) When c < 0, what the characteristic of the graph? Comparing with the origin y= ax
(3) When c = 0, what the characteristic of the graph? Comparing with the origin y= ax
Formative Test#1
Question #1
According to graph above, what the value of parameter "a", both a red and blue graph? Based on the y = ax
Formative Test#2
Question #2
According to graph above, what the value of parameter a and b? Based on the y= ax + b
Formative Test#3
Question #3
According to graph above, which one of the following function is true?
(a) y= ax
(b) y= ax + b
(c) y= ax+c
(d) y= ax+c + b
Based on your answer, determine the value of each parameter (a, b, or c)!