University:
High School
Course:
High School Linguistics
Academic year:

2022
Views:

267

Pages:

4
Author:

efreet4ifh37v

Notetaking with Vocabulary (continued) Vertical Stretches and Shrinks The graph of y = a • f(x) is a vertical stretch or shrink by a factor of a of the graph of y = f(x), where a > 0 and a t:- l. y =, a• f(x), a> 1 y = f(x) t t y = a • f(x), -+----::1.t---- O < a < 1 Multiplying the outputs by a stretches the graph vertically ( away from the x-axis) when a > 1, and shrinks the graph vertically (toward the x-axis) when O < a < 1. The x-intercept stays the same. Notes: 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. 1. f(x) = l½xl; translation 2 units to the left (x)=f{x+2 2. f(x) 2. -tD X ( j n St'de) = -Ix+ 91- 1; translation 6 units down 3 (x) = f (x.) - lo 19 (x)= -2x= -+J 2;x -rtranslallon q I:.]) 7 units down 3. f(x) 3Cx)-= +(x)-7 =- - 2.X + 2. - 7 Algebra 2 11 Notetaking with Vocabulary (continued) 4. = 3(x)=-1x-9 11. Which of the transformation(s) in Section 1.2 willnot change they-intercept of f(x) = lxl + 3?