SOLUTION: Given h = 5 and k = 2, what is the equation of the graph if the parent function is y=3√x? Describe the transformation.

Algebra ->  Rational-functions -> SOLUTION: Given h = 5 and k = 2, what is the equation of the graph if the parent function is y=3√x? Describe the transformation.       Log On


   

Question 935591: Given h = 5 and k = 2, what is the equation of the graph if the parent function is y=3√x? Describe the transformation.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Parent function: y+=+root%283%2Cx%29

(More) General form: y+=+root%283%2Cx-h%29%2Bk

The h shifts it left/right
The k shifts it up/down

h = 5, which is positive, so we go 5 units to the right
k = 2, which is positive, so we go 2 units up

so we go from y+=+root%283%2Cx%29 to y+=+root%283%2Cx-5%29%2B2 after we plug in h and k.

Graph:


In the graph above, y+=+root%283%2Cx%29 is the red curve and y+=+root%283%2Cx-5%29%2B2 is the blue curve. Notice how everything (in particular, the point (0,0)) has been shifted 5 units right, 2 units up.