Cambridge Additional Mathematics

100 Quadratics (Chapter 3)

13 a Find the equation of the quadratic function illustrated.

b Find the vertex of the quadratic.

14 Find the maximum or minimum value of the quadratic, and the corresponding value ofx:

a y=3x^2 +4x+7 b y=¡ 2 x^2 ¡ 5 x+2

15 600 m of fencing is used to construct 6 rectangular animal pens

as shown.

a Show that the areaAof each pen isA=x

³

600 ¡ 8 x

9

́

m^2.

b Find the dimensions of each pen so that it has the maximum

possible area.

c What is the area of each pen in this case?

16 Sketch the graph of f(x)=

̄

̄x^2 +x¡ 20

̄

̄.

xm

ym

y

x

2

-5 1

O

cyan magenta yellow black

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100 100 4037 Cambridge
Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_03\100CamAdd_03.cdr Monday, 14 April 2014 5:54:01 PM BRIAN