Thread: Graph transformations

hey need some help with a question im struggeling with:

The equation of a curve is y=f( x ) where f( x )= x2 - 6x +14

a ) complete the square for f, ( x )

b) Hence Sketch the graph of y = f ( x ) and y = f(x+3)

Whats really confusing me is how to complete the square, usually im ok with this as there are two terms for example

Y = ax + bx
y= ax - bx

to that idea, anyway i cant see a way of there being two sets so just need a lil explaining thanks ^^

Originally Posted by BoF

hey need some help with a question im struggeling with:

The equation of a curve is y=f( x ) where f( x )= x2 - 6x +14

a ) complete the square for f, ( x )

b) Hence Sketch the graph of y = f ( x ) and y = f(x+3)

Whats really confusing me is how to complete the square, usually im ok with this as there are two terms for example

Y = ax + bx
y= ax - bx

to that idea, anyway i cant see a way of there being two sets so just need a lil explaining thanks ^^

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