Question

Which equation could represent the graph shown below

Answer 1

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