What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4? (2,4) (-2,-4) (-2,4) (2,-4)

C. (-2,4)

Step-by-step explanation:

We have been given a function and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:  

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

450

step-by-step explanation:

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