Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions y=|x|-2

necessaryh 2021-09-12 Answered
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
\(\displaystyle{y}={\left|{x}\right|}-{2}\)

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

smallq9
Answered 2021-09-13 Author has 21591 answers

Step 1
given:
the function \(\displaystyle{y}={\left|{x}\right|}-{2}\)
Step 2
as we know that if we have function y=f(x) then the equation of the function shifted at (h,k) is given by:
\(y-k=f(x-h)\)
the function \(\displaystyle{y}={\left|{x}\right|}-{2}\) can be rewritten as:
\(\displaystyle{y}={\left|{x}\right|}-{2}\)
\(\displaystyle{y}+{2}={\left|{x}\right|}\)
\(\displaystyle{y}-{\left(-{2}\right)}={\left|{x}\right|}\)
by comparing the equation obtained above with the equation y-k=f(x-h) it can be seen that
h=0
and k=-2
therefore it is the equation of the function \(\displaystyle{y}={\left|{x}\right|}\) which is shifted at (0,-2).
Step 3
therefore the graph of the function \(\displaystyle{y}={\left|{x}\right|}-{2}\) can be drawn by shifting the graph of the function \(\displaystyle{y}={\left|{x}\right|}\) at (0,-2).
image

Not exactly what you’re looking for?
Ask My Question
37
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-09-08
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
\(\displaystyle{y}={1}-{2}{x}+{x}^{{2}}\)
asked 2021-07-13
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions, and then applying the appropriate transformations.
\(\displaystyle{y}={3}-{2}{\cos{{x}}}\)
asked 2021-01-19

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
\(y=\sqrt{x - 2} - 1\)

asked 2022-01-10
Graph the following functions by hand, not by plotting the points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations y=1/4tan(x-Pi/4) y=|cosPix|
asked 2021-08-14
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions, and then applying the appropriate transformations.
\(\displaystyle{y}={2}\sqrt{{{x}+{1}}}\)
asked 2021-08-08
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions, and then applying the appropriate transformations.
\(\displaystyle{y}={\left({x}-{3}\right)}^{{{2}}}\)
asked 2021-01-07
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions, and then applying the appropriate transformations.
\(\displaystyle{y}={1}-{2}\sqrt{{{x}}}+{3}\)
...