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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 = x2
x ywhat does
look like?
y = x2
y = x2
Let’s start with
y = x2 + 3
Move up by 3
y = x2 – 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 2And up by 3
y = (x + 4)2 – 9
Move right by 4 And down by 9
y = – x2
Start with
y = – x2 + 7
Move up by 7
y = – x2 + 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 2And up by 3
y = – (x – 5)2 + 9
Move right by 5And up by 9
What have you discovered?y = (x – a)2 + b
Is the turning point form(a,b) is the turning pointWhere
y = x2
Let’s start with
y = x2
Let’s start with
y = x2y = 2x2
y = 5x2Dilates
(gets skinny)
y = ax2
a > 1
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