Bell Ringer
number your answers; you do not need to write question
Give the coordinates of each transformation of (2, –3).
1. horizontal translation of 5
(7, –3)
2. vertical translation of –1
(2, –4)
3. reflection across the x-axis
(2, 3)
4. reflection across the y-axis
(–2, –3)
1.3
Objectives
Transform linear functions.
Solve problems involving linear
transformations.
Students will: learn to transform functions by
transforming each point. Transformations can
also be expressed by using function notation.
k
h
m
(a)
INVESTIGATION of Function Transformations
“external” changes
affect the “vertical”
“internal” changes
affect the “horizontal”
WRITING TRANSFORMATIONAL CHANGES
function
f(x) = 4x
f(x) = x2
Describe
graph
changes
f(x) + 3
f(x) - 2
5f(x)
-f(x)
f(x + 4)
f(x - 1)
f(-2x)