MPM2D1 Date: ____________ Day 4: Mapping Notation Chapter 4: Quadratic Relations

1

Review: Graph the following quadratic relation on the grid provided (without using a table of values).

Reflection:

Stretch:

Translations:

Domain (x values):

Range (y values):

MPM2D1 Date: ____________ Day 4: Mapping Notation Chapter 4: Quadratic Relations

2

Warm up

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Equation List Transformations Vertex Direction Opening

Max/Min Point

AOS Domain (x values)

Range (y values)

3)2( 2 xy

2)2(3

1 xy

742 xy

52 2 xy

412

1 2 xy

532

7 2 xy

MPM2D1 Date: ____________ Day 4: Mapping Notation Chapter 4: Quadratic Relations

p.185 #1 and 2 Page 3

Method 2: Graphing Parabolas using Mapping Notation

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Mapping Notation: ,, yx

Practice: State the mapping notation for the following parabolas:

a) y = 3x2 - 5 b) y = -(x + 7)2 c) y = -2x2 + 4

d) y = ½ (x – 6)2 + 1 e) y = 5(x + 1)2 - 9 f) y = – ¼ (x – 3)2 + 5

How to graph using Mapping Notation 1) List at least 5 key points from your parent relation. (Make sure you include – and + ‘x’ values. 2) Using mapping notation, find out the new coordinates of these key points. 3) Plot the new points, then draw your parabola.

Ex1. Graph 3)2( 2 xy using mapping notation.

PARENT RELATION

TRANSFORMED RELATION

Ex2. Graph 412

1 2 xy using mapping notation.