Answer:
See attachment
Step-by-step explanation:
We want to graph [tex]f(x)=|x|-12[/tex] on the interval -10 to 10.
Let [tex]g(x)=|x|[/tex] be the parent absolute value function.
We can easily graph [tex]f(x)=|x|-12[/tex], if we use translation.
When the parent function is shifted downwards by 12 units, we obtain the graph of [tex]f(x)=|x|-12[/tex].
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 [tex]f(x)=|x|-12[/tex] .
See attachment for the graph of [tex]f(x)=|x|-12[/tex] on the specified interval.
Answer:
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.
Step-by-step explanation:
