SOLUTION: The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g and choose the correct grap

Algebra ->  Functions -> SOLUTION: The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g and choose the correct grap      Log On


   

Question 1203646: The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g and choose the correct graph of g.
The graph of f(x) = |x| is shifted 3 units to the left and 4 units up.
g(x) =

Can you please explain me this homework question by showing the step-by-step calculations? Thank you so much!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
remember:
The function translation / transformation rules:
f%28x%29+%2B+b shifts the function b units upward.
f%28x%29-b shifts the function b+units downward.
f%28x+%2B+b%29 shifts the function b units to the left.
f%28x+-b%29+shifts the function b units to the right.
-f%28x%29 reflects the function in the x-axis (that is, upside-down).

if you are given f%28x%29+=+abs%28x%29 is shifted 3+units to the left and 4 units up, you will have

f%28x%29+=+abs%28x%2B3%29%2B4
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+abs%28x%29%2C+abs%28x%2B3%29%2B4%29+