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What is the common theme?
More clues?
Are you getting the picture?
Now for the Maths Stuff
QUADRATICS
Line of Symmetry
Minimum
Maximum
y = x
2
x y y = x
2
y = x
2
Let’s start with
y = x
2
+ 3
Move up by 3
y = x
2
–4
Move down by 4
y = (x –5)
2
Move right by 5
y = (x + 6)
2
Move left by 6
y = (x + 2)
2
+ 3
Move left by 2
And up by 3
y = (x + 4)
2
– 9
Move right by 4
And down by 9
y = –x
2
Start with
y = –x
2
+ 7
Move up by 7
y = –x
2
+ 4
Move up by 4
y = – (x – 5)
2
Move right by 5
y = – (x + 6)
2
Move left by 6
y = –(x + 2)
2
+ 3
Move left by 2
And up by 3
y = –(x –5)
2
+ 9
Move right by 5
And up by 9
What have you discovered?
y = (x – a)
2
+ b
Is the turning point form
(a,b) is the turning pointWhere
y = x
2
Let’s start with
y = x
2
Let’s start with
y = x
2
y = 2x
2
y = 5x
2
Dilates
(gets skinny)
y = ax
2
a > 1
2 cd ch 6 quadratics introduction
2 cd ch 6 quadratics introduction
2 cd ch 6 quadratics introduction
2 cd ch 6 quadratics introduction
2 cd ch 6 quadratics introduction
2 cd ch 6 quadratics introduction
2 cd ch 6 quadratics introduction
2 cd ch 6 quadratics introduction

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2 cd ch 6 quadratics introduction