SOLUTION: A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. f(x) = x2; shift 5 un

Question 1200478: A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x2; shift 5 units to the left and reflect in the x-axis
y= (blank)
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.


To shift 5 units left, we replace the argument x by  (x+5),

and after that transformation the parent function  f(x) =   becomes 
 g(x) = .


To reflect in x-axis, we replace function  g(x)  by  -g(x),  changing the sign.


The final function after two transformations is

    h(x) = .      ANSWER

Solved.

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