Give the coordinates of each transformation of (2, –3).

1. horizontal translation of 5

2. vertical translation of –1

3. reflection across the x-axis

4. reflection across the y-axis

(7, –3)

(2, 3)

(2, –4)

(–2, –3)

Bell Ringernumber your answers; you do not need to write

question

Transform linear functions.

Solve problems involving linear transformations.

1.3 Objectives

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” changesaffect the “vertical”

“internal” changesaffect the “horizontal”

WRITING TRANSFORMATIONAL CHANGES

function f(x) + 3 f(x) - 2 5f(x) -f(x) f(x + 4)

f(x - 1)

f(-2x)

f(x) = 4x

f(x) = x2

Describe graph changes

Exit

Question