Question

You graph the function f(x)=-|×|-12

in the
standard viewing window of -10 to 10. Will you be
able to see the graph? Explain.​

Answer 1

Which of the following did you include in your response?

No, you will not see the graph.

When x is 0, y is –12, which is outside the viewing window.

Because the function has been reflected, it opens down.

From x = –10 to x =10, the y-values range from –22 to –12.

Explanation:

Answer 2

See attachment

Explanation:

We want to graph
`f(x)=|x|-12` on the interval -10 to 10.

Let
`g(x)=|x|` be the parent absolute value function.

We can easily graph
`f(x)=|x|-12`, if we use translation.

When the parent function is shifted downwards by 12 units, we obtain the graph of
`f(x)=|x|-12`.

The parent function is a v-shaped graph with vertex at the origin.

We shift the parent function down so that its vertex is now at (0,-12) to get the graph of
`f(x)=|x|-12` .

See attachment for the graph of
`f(x)=|x|-12` on the specified interval.