# identify the common function and the transofrmation shown in the graph?

• Oct 5th 2010, 01:51 PM
lollilikeslife
identify the common function and the transofrmation shown in the graph?
The question/directions for this problem are as follows: "Identify the common function and transformation shown in the graph. Write the formula for the graphed function."

I identified the common function of the graph as a square root function, the original equation of this this is : [y = rad(x)]

okay, here is the graph:

Attachment 19192

you have to write the edited graph equation huzzah! I got it wrong before (Crying)
• Oct 5th 2010, 01:59 PM
pickslides
Looks like a reflection in the y-axis therefore f(-x)

then a horizontal shift of +3 i.e f(x-3)

combine these with $\displaystyle f(x) = \sqrt{x}$
• Oct 5th 2010, 02:14 PM
lollilikeslife
thank you! but... i'm still confused?
so..

$\displaystyle y=\sqrt{x}$ in black
$\displaystyle y=\sqrt{-x}$ in green
$\displaystyle y=\sqrt{-(x-3)} = \sqrt{3-x}$ in red