Find the function that is finally graphed after the followin

Find the function that is finally graphed after the following transformations are applied to the graph of y= square root x in the order listed Shit up 9 units Reflect about the x-axis Reflect about the y-axis

Solution

given y = sqrt(x)

a) shift up 9 units (ie by adding 9 to the function y )

y = sqrt(x) + 9

b) Recflects about x axis ( ie multiply y by - 1 )

y = - sqrt(x) - 9

c) Reflects about y axis ( ie multiplay by - 1 inside the function )

y = - sqrt(-x) - 9