Transformations of f(x) = sin(x)_ADVMAT
Exploring the effect of the pronumeral 'a'
Exploring the effect of the pronumeral 'a'
When the pronumeral 'a' has a value of 1 what do you notice?
Value of 'a' is greater than 1.
When the value of 'a' is greater than 1 what is the effect on ?
Set the value of a to equal 3.
Given that . Describe how the graph of differs from .
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Investigating when the value of 'a' is between 0 and 1.
What effect does the value of 'a', when 'a' is a proper function have on ?
Impact of assigning the pronumeral 'a' a value less than 0.
a. What effect does assigning a value of a=-1 have on the parent function ? b. What effect does assigning values for the pronumeral 'a', of <-1, have on the parent function ? c. What effect does assigning values for the pronumeral 'a', of -1<<0, have on the parent function ?
Amplitude_ vertical dilation
Amplitude is defined as the vertical dilation of a trigonometric function. a. What would be the amplitude of ? b. What would be the amplitude of ? c. What would be the amplitude of ? d. What would be the amplitude of ?
Exploring the effect of the pronumeral 'b'
Exploring the effect of assigning a value of 2 to the pronumeral 'b'
Given that and , explain the effect of the assigning the pronumeral 'b' the value of 2, on .
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Exploring the effect of assigning a value of 1/2 to the pronumeral 'b'
When given that and , explain the effect of the assigning the pronumeral 'b' the value of , on
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Exploring the effect of assigning a value of -1 to the pronumeral 'b'
When given that and , explain the effect of the assigning the pronumeral 'b' the value of , on the parent function.
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Exploring the effect of assigning a value of -2 to the pronumeral 'b'
When given that and , explain the effect of the assigning the pronumeral 'b' the value of , on the parent function.
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Frequency_ horizontal dilation
Frequency is defined as the horizontal dilation of a trigonometric function and affects the period. a. What would be the period of ? b. What would be the period of ? c. What would be the period of ? d. What would be the period of ?
Exploring the effect on the parent function of changing the value of the pronumeral 'k'
Exploring the effect of assigning a value of 1 to the pronumeral 'k'
Given that and , explain the effect of assigning 'k' the value of 1 on the parent function .
Exploring the effect of assigning a value of -1 to the pronumeral 'k'
Given that and , explain the effect of assigning 'k' the value of 1 on the parent function .
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Centre as a vertical translation
Centre as a vertical translation
A vertical translation is defined by the number of units the centre of the parent function is moved up or down. a. What would be the vertical translation of ? b. What would be the vertical translation of ? c. What would be the vertical translation of ? d. What would be the vertical translation of ?
Exploring the effect on the parent function of changing the value of the pronumeral 'h'
Exploring the effect on the parent function of assigning a value to the pronumeral 'h'
Given that and , explain the effect of assigning 'k' the value of on the parent function .
Exploring the effect on the parent function of assigning a value to the pronumeral 'h'
Given that and , explain the effect of assigning 'k' the value of on the parent function .
Exploring the effect on the parent function of assigning a value to the pronumeral 'h'
Given that and , explain the effect of assigning 'k' the value of on the parent function .
Exploring the effect on the parent function of assigning a value to the pronumeral 'h'
Given that and , explain the effect of assigning 'k' the value of on the parent function .
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Comparison of the coordinates of the original graph to the transformed graph.
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Exploring the effects of pronumerals on the parent function tanx
a. For the graph , find the coordinates for . b. For the graph of , find the coordinates for c. How do the coordinates of differ from ?
Phase as a horizontal translation
The phase of a trigonometric function results in a horizontal translation of the trigonometric is defined by the number of radians the parent function is moved left or right of the y-axis. a. What would be the horizontal translation of ? b. What would be the horizontal translation of ? c. What would be the horizontal translation of ? d. What would be the horizontal translation of ?