Question

Write an equation for the graph.

Answer 1

Answer: $f(x)=-|x-3|$

Step-by-step explanation:

By definition. the parent function is the simplest form of a function.

In this case, you have that the absolute value parent function is the shown below:

$f(x)=|x|$

If you make it multiply by -1, then you obtain:

$f(x)=-|x|$

Then, the graph will open down.

The vertex is shifted 3 units to the right, therefore, this means that:

$f(x)=-|x-3|$

Answer 2

Answer:

f(x) = -Ix- 3I is the equation of the graph.

Step-by-step explanation:

We have given the graph.

We have to find the equation for this graph.

The parent function of this graph is the parent absolute value function.

f(x) = IxI

We multiply the function by minus  we get:

f(x) = - IxI

The shape of graph is downward.

When this graph f(x) = - IxI shifted 3 unit right the equation will be:

f(x) = -Ix- 3I

This is the equation of the graph shown in the question.