Section 1.1 Translations soln.notebook 1 October 16, 2016 Oct 104:13 PM Chapter 1: Function Transformations
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
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