What transformation can you apply to #y=sqrtx# to obtain the graph #y=5sqrt(x+20)#?
1 Answer
Aug 22, 2017
Translation:
First we can perform a translation of
#20# units to the left to get from:
# y = sqrt(x) \ \ \ \ \ # to# \ \ \ \ \ y_1=sqrt(x+20)#
Scale:
Next we scale along the
#y# -axis by a factor of#5# to get from
# y_1 = sqrt(x+20) \ \ \ \ # to# \ \ \ \ \ y_2 = 5sqrt(x+20)#
We can see this graphically. All graphs are to the same scale
Graph 1 :
graph{sqrt(x) [-25, 25, -5, 25]}
Graph 2 :
graph{sqrt(x+20) [-25, 25, -5, 25]}
Graph 2 :
graph{5sqrt(x+20) [-25, 25, -5, 25]}