On seperate diagrams, sketch the graphs of:

a) y=(x+3)^2

and

b) y=(x+3)^2+k, where k is a positive constant.

=)

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- Apr 5th 2008, 06:29 AMTumbleweed17Graph sketching help
On seperate diagrams, sketch the graphs of:

a) y=(x+3)^2

and

b) y=(x+3)^2+k, where k is a positive constant.

=) - Apr 5th 2008, 06:38 AMTheEmptySet
Remember our shifting rules for graphs

$\displaystyle f(x-h)$ shifts the graph of f(x) h units in the x direction.

$\displaystyle f(x) + k$ shifts the graph of f(x) k units in the y direction.

So we need to rewrite a) as follows

Note we will be shifting the graph of $\displaystyle f(x)=x^2$

$\displaystyle f(x+3)=y=(x+3)^2=[x-(-3)]^2$ so since we -3 = h we shift the graph of f(x) three units to the left.

for b)

we will shift f(x) up k units..

Good luck. - Apr 7th 2008, 12:31 PMTumbleweed17Reply to my plea for help =)
Thanks,

That was really useful, I didn't realise that it was a shift question!

Plus thanks for reminding me that

-3 = h and that you aren't always givent the function to tell you what the question is asking.

Thanks! =)