University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

64

Pages:

5
Author:

nadelnnl7v

Transformations of Linear and Absolute Value Functions For use with Exploration 1.2 Essential Question How do the graphs of y = t(x) + k, y = t(x - h), and y = -f(x) compare to the graph of the parent function f? Communicate Your Answer 5. Compare the graph of each function to the graph of its parent function f. a. Y d. y x2 + I b. y == e. Y ✓X ;f- 4 f. y 7 Extra Practice In Exercises 1-9, write a function g whose graph represents the indicated transformation of the graph off. Use a graphing calculator to check your answer. I jxl; �:±1. 2. f(x) f( X) = translation2 ni��?!;.�$ � 42/ ) -IX 1�1; -/ +9 I - I;I translation 6 units down ·;_;;·77;:; .....-�........ . ,.. - , -� I �(:x):: -/xY1) -]_J 3. J[x) 5. l(-1 � +. = r- 2x- 2 -�··. � •• , ····•· -·I f X) = 4 + IX + I ( , .... ' ... ' . •' I� - translation2.,�its d'.;!:� reflection in the y-axis .• ,, 1 11 6. f ( X) = -5x; s. f(x) 9. ofA- :: �(t I c 1 ,,, I�'./?:) � i ?<, _ !J ,, f X) -j 8x I - 4; v rtical shrink by a factor of-! :> 1 3 X - 9 ; horizo11ta I stretch by a factor of 6 ( 10. Consider the function --· - horizontal shrink by a factor of¼ = lxl. Write a functiongwhose graph represents a reflection in th x-axis followed by a horizontal stretch by a factor of 3 and a translation 5 units down of the graph off f(x) �j,ii.,• 11. Which of the transformation(s) in Section 1.2 will not change they-intercept of f(x) = lxl + 3? 12 Algebra 2