Question

1Input the missingvalues in the functionfor the graph.y = |x--3] + [?]

Answer 1

Let the function be,

$\begin{gathered} y=|x--3|+k \\ y=|x+3|+k\text{ ----(1)} \end{gathered}$

Here, k is the missing value to be found out.

Input missing values

Now, consider the coordinates of a point on the graph.

(x,y)=(-3, -4) is a point on the graph. Hence, substitute x=-3 and y=-4 in equation (1).

$\begin{gathered} -4=|-3+3|+k \\ -4=0+k \\ -4=k \end{gathered}$

Hence, k=-4.

So, the missing value in the function is -4.

Option B is correct.

Simplified function of graph

Now, put k=-4 in equation (1) to obtain the simplified function of the graph.

$y=|x+3|-4$

Therefore, the simplified function of the graph is y=|x+3|-4.

Hence, option A gives the simplified function of the graph .