chapter 1: function transformationsmsbourgeois2016.weebly.com/uploads/5/5/9/1/55918287/... · 2019....
TRANSCRIPT
Section 1.1 - Translations-
soln.notebookOct 104:15 PM
Transformation The graph of a function may be changed either by shifting, stretching or compressing, or applying a reflection.
Types of Transformations
3. Vertical Stretch
4. Horizontal Stretch
5. Horizontal Translation
6. Vertical Translation
Section 1.1 Translations soln.notebook
Up/down (Vertical translation)
Right/Left (horizontal Translation)
Two Cases K<0
(ii) Write the mapping rule
(iii) What translation would occur if k was a negative value?
Section 1.1 Translations soln.notebook
(ii) Write the mapping rule
Section 1.1 Translations soln.notebook
Two Cases
h > 0
h < 0
(ii) Write the mapping rule
(iii) What translation would occur if h was a negative value?
Section 1.1 Translations soln.notebook
(ii) Write the mapping rule
Section 1.1 Translations soln.notebook
Oct 104:40 PM
Given the graph of y = f(x), identify the parameters h and k and create a mapping rule for each of the transformations below. Graph the transformed function.
Section 1.1 Translations soln.notebook
Oct 104:45 PM
Determine the values of h and k and write the equation for the translated graph for each of the following.
Section 1.1 Translations soln.notebook
Oct 104:47 PM
For each transformation, identify the values of h and k and write the equation of the transformed function y = f(xh) + k
(i) f(x) = |x| translated 4 units to the left and 6 units up.
(ii) f(x) = translated 1 unit to the right and 3 units down.
Section 1.1 Translations soln.notebook
What horizontal translation is applied to
if the translation image graph passes through the point (5, 10)?
Section 1.1 Translations soln.notebook
metadata.xml
Transformation The graph of a function may be changed either by shifting, stretching or compressing, or applying a reflection.
Types of Transformations
3. Vertical Stretch
4. Horizontal Stretch
5. Horizontal Translation
6. Vertical Translation
Section 1.1 Translations soln.notebook
Up/down (Vertical translation)
Right/Left (horizontal Translation)
Two Cases K<0
(ii) Write the mapping rule
(iii) What translation would occur if k was a negative value?
Section 1.1 Translations soln.notebook
(ii) Write the mapping rule
Section 1.1 Translations soln.notebook
Two Cases
h > 0
h < 0
(ii) Write the mapping rule
(iii) What translation would occur if h was a negative value?
Section 1.1 Translations soln.notebook
(ii) Write the mapping rule
Section 1.1 Translations soln.notebook
Oct 104:40 PM
Given the graph of y = f(x), identify the parameters h and k and create a mapping rule for each of the transformations below. Graph the transformed function.
Section 1.1 Translations soln.notebook
Oct 104:45 PM
Determine the values of h and k and write the equation for the translated graph for each of the following.
Section 1.1 Translations soln.notebook
Oct 104:47 PM
For each transformation, identify the values of h and k and write the equation of the transformed function y = f(xh) + k
(i) f(x) = |x| translated 4 units to the left and 6 units up.
(ii) f(x) = translated 1 unit to the right and 3 units down.
Section 1.1 Translations soln.notebook
What horizontal translation is applied to
if the translation image graph passes through the point (5, 10)?
Section 1.1 Translations soln.notebook
metadata.xml