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.

Explanation:

The vertices of the function

$f(x)=\frac{1}{2}|x|-4$

is (0,-4).

Now the function of (5,2) is

$\frac{3}{5}|x-5|+2$

The function of (2,3) is

$\frac{3}{2}|x-2|+3$

The function of (-1,-7) is

$\frac{1}{2}|x+1|-7$

Final Answer:

(2,3) :

$\frac{3}{2}\lvert x-2\rvert+3$

(5,2) :

$\frac{3}{5}\lvert x-5\rvert+2$

(0,-4) :

$f(x)=\frac{1}{2}\lvert x\rvert-4$

(-1,-7) :

$\frac{1}{2}\lvert x+1\rvert-7$