Respuesta :
The third.
When you have a number in the parentheses(abs value function in this case) that is applied to the x value of the graph in the negative way. Since the 3 is positive, the graph will move to the left(negative) 3 spaces. Outside of the parentheses is the opposite; since the two is positive, it will move two places up, resulting in C being the only possible answer.
The reason it isn't D is because adding a negative to the front of the function would flip it over an axis which is not something we want to do here.
When you have a number in the parentheses(abs value function in this case) that is applied to the x value of the graph in the negative way. Since the 3 is positive, the graph will move to the left(negative) 3 spaces. Outside of the parentheses is the opposite; since the two is positive, it will move two places up, resulting in C being the only possible answer.
The reason it isn't D is because adding a negative to the front of the function would flip it over an axis which is not something we want to do here.
Answer:
The correct option is C. f(x) = |x + 3| + 2
Step-by-step explanation:
The parent function in this case is : mod x = |x|
Let the parent function be f(x) = |x|
Now, The parent function is transformed 3 units to the left
⇒ f (x) = f(x + 3)
⇒ f(x) = |x + 3|
Also, The parent function is transformed up by 2 units
⇒ f(x) = f(x) + 2
⇒ f(x) = |x + 3| + 2
Therefore, The correct option is C. f(x) = |x + 3| + 2
