Question

1225Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the absolute value functions with their vertices.f(2)=121-4f(x)=-2111 - 5f(x)=-|-1| +3f(x) == +1-7Vertex(2,3)(5,2)(0₁-4)f(x)== -21 +3f(2)== -51 +2Absolute Value Function101

Answer 1

Given:

Given a vertex of the functions

`\begin{gathered} (2,3) \\ (5,2) \\ (0,-4) \\ (-1,-7) \end{gathered}`

Required:

To match the absolute value functions with their vertices.

Step-by-step explanation:

The vertices of the function

`f(x)=(1)/(2)|x|-4`

is (0,-4).

Now the function of (5,2) is

`(3)/(5)|x-5|+2`

The function of (2,3) is

`(3)/(2)|x-2|+3`

The function of (-1,-7) is

`(1)/(2)|x+1|-7`

Final Answer:

(2,3) :

`(3)/(2)\lvert x-2\rvert+3`

(5,2) :

`(3)/(5)\lvert x-5\rvert+2`

(0,-4) :

`f(x)=(1)/(2)\lvert x\rvert-4`

(-1,-7) :

`(1)/(2)\lvert x+1\rvert-7`