How do I find the equation of this graph? I'm guessing that this formula: y=a√(b(x-h))+k has something to do with it. Thank you :)

Question

anonymous · Answer

Here's the graph :P

jdoe0001 · Answer

http://hotmath.com/hotmath_help/topics/graphing-square-root-functions/graph-1.gif yours is shifted 3 units to the left A( Bx + C ) + D C = horizontal shift, C < 0, to the right, C>0, to the left

anonymous · Answer

@jdoe0001 Okay, but how do you find all the numbers to get the answer? Do you just have to compare to  y = √x or something?

jdoe0001 · Answer

yep, you just compare the derived function from the parent function
so yours is shifted to the LEFT by 3 units
so it will be $y=\sqrt{x+3}$

jdoe0001 · Answer

jdoe0001 · Answer

hmm, yours seem to be running a little higher on the "y" axis, so it may have a multiplier too

jdoe0001 · Answer

jdoe0001 · Answer

A( Bx + C ) + D

A = shrinks or expands the graph horizontally

anonymous · Answer

Oh okay :) and yeah i agree with what you said for A

anonymous · Answer

Whoops, sorry I just re-looked at my information and for A, it's a vertical stretch and a < 0 means is reflected across the x-axis

jdoe0001 · Answer

that's correct, if A is negative, the graph goes upside down

jdoe0001 · Answer

so-called, reflected over x-axis