Question

54+3-2+1-5-4-3-2-1₁. 1 2 3 4-2w[५]-3-F10XWhich function is represented by the graph?Of(x) = -x +4O f(x) = -xl-4Of(x) = -x +41O f(x) = -x-41

Answer 1

D. f(x) = -|x - 4|

EXPLANATION :

The general equation of an absolute value function is :

`f(x)=\pm a|x-h|+k`

where the sign of a indicates the opening of the graph.

If it is positive, the graph opens upward

If it is negative, the graph opens downward

and the vertex is at (h, k)

From the options, the value of a is all equal to 1.

The graph opens downward, so the sign is negative

and the vertex is at (4, 0)

That will be :

`\begin{gathered} f(x)=-|x-4|+0 \\ f(x)=-|x-4| \end{gathered}`