SOLUTION: Write equations for the following word statements. Complete the transformations in the order given. The graph of h(x) = {{{ sqrt( x ) }}} is translated the right 4 units, reflecte

Algebra ->  Equations -> SOLUTION: Write equations for the following word statements. Complete the transformations in the order given. The graph of h(x) = {{{ sqrt( x ) }}} is translated the right 4 units, reflecte      Log On


   

Question 1000187: Write equations for the following word statements. Complete the transformations in the order given.
The graph of h(x) = +sqrt%28+x+%29+ is translated the right 4 units, reflected in the y-axis, compressed vertically by a factor of 2, and translated 3 units down. determine the equation of the transformed function k(x).
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29+=++sqrt%28+x+%29+
k%28x%29+=++sqrt%28+x-4+%29+: the graph of h%28x%29 is translated the right 4 units
k%28x%29+=++sqrt%28+x-4+%29-3+: the graph of h%28x%29 is translated 3 units down
k%28x%29+=++sqrt%28+2%28x-4%29+%29-3+: the graph of h%28x%29 is compressed vertically by a factor of 2, and
k%28x%29+=++sqrt%28+2%28-x-4%29+%29-3+: the graph of h%28x%29 is reflected in the y-axis,