Cambridge Additional Mathematics

Example 14 Self Tutor

Use the vertex, axis of symmetry, andy-intercept to graph y=¡2(x+1)^2 +4.

The vertex is(¡ 1 ,4).

The axis of symmetry is x=¡ 1.

When x=0, y=¡2(1)^2 +4

=2

a< 0 so the shape is

5 Use the vertex, axis of symmetry, andy-intercept to graph:

a y=(x¡1)^2 +3 b f(x)=2(x+2)^2 +1 c y=¡2(x¡1)^2 ¡ 3

d f(x)=^12 (x¡3)^2 +2 e y=¡^13 (x¡1)^2 +4 f f(x)=¡ 101 (x+2)^2 ¡ 3

6 Match each quadratic function with its corresponding graph:

a y=¡(x+1)^2 +3 b y=¡2(x¡3)^2 +2 c y=x^2 +2

d y=¡(x¡1)^2 +1 e y=(x¡2)^2 ¡ 2 f y=^13 (x+3)^2 ¡ 3

g y=¡x^2 h y=¡^12 (x¡1)^2 +1 i y=2(x+2)^2 ¡ 1

ABC

DEF

GH I

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x

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2 x

y

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3

x

y

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80 Quadratics (Chapter 3)

2

2

3

3 x

y

O

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-4

2 x

y

O

x

y

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3

-8 -4

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x

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3

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1 x

y

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2

2

2 x

y

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4 x

y

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-2

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_03\080CamAdd_03.cdr Friday, 20 December 2013 12:32:45 PM GR8GREG