Question

Complete the function for this graph.43121y = -1x – [?]] + []1 2 3 4-4-3-2-1-1-21-3NE-4Enter

Answer 1

We are to complete the function in the graph

From the graph, the vertex of the function is at x = -2

This means the function is 2 units to the left of the y-axis

Hence the given function

$y=\lvert x-?\rvert+\lbrack\text{ \rbrack}$

will become

$y=\lvert x-(-2)\rvert+?$

Also, the vertex of the function is at y = -1

This means the function is 1 unit below the x-axis

Hence the function will become

$y=\lvert x-(-2)\rvert+(-1)$

By simplifying further we have

$y=\lvert x+2\rvert-1$

Therefore, the function of the graph is

$y=\lvert x+2\rvert-1$