Answer:
f(x) = √(x+1) -2
Step-by-step explanation:
Since you're working with transformed functions, you know that replacing x with x-a in f(x) will translate the graph "a" units to the right. You also know that adding "b" units to the function value will translate the graph "b" units upward.
Here, the graph of f(x) = √x has been translated 1 unit to the left (a=-1) and 2 units down (b=-2). So, the transformed function is ...
f(x) = √(x-(-1)) + (-2)
f(x) = √(x+1) -2 . . . . . . simplify
Since the 2L is not being multiplied or divided, and it's positive, we will subtract it from both sides. Since the W is being multiplied by the 2, we'll also need to divide both sides by 2.
Your answer is B.
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