1. ## Graph 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.
=)

2. Originally Posted by Tumbleweed17
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.
=)
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.

3. ## Reply 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! =)