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