explain using graph the how & which regions follow this inequality
|x|>|y| & |x|<|y| where | | represents modulus function
please its urgent!!!!!!
Answers
Answer:
you can refer to educational help websites
Answer:
2.1 Review of simple transformations
of graphs
Some simple transformations of graphs were introduced in
chapter 5 of C2. The basic results are reviewed below. For
instance, the graph of y x2 can be transformed into the graph
of y (x -
3)2 4 by a translation of -
.
You learnt how to find the equations of new curves after a
reflection in one of the coordinate axes.
For example, the graph of y 2 x3 is sketched opposite.
After reflection in the x-axis, the new curve will have equation
y -
2 -
x3. The general result is given below.
When the curve y 2 x3 is reflected in the y-axis, the new
curve has equation y 2 -
x3.
3
4
CHAPTER 2
C3:Transformations of
graphs and the modulus function
Learning objectives
After studying this chapter, you should be able to:
■ transform simple graphs to produce other graphs
■ understand the effect of composite transformations on equations of curves and describe them
geometrically
■ understand what is meant by a modulus function
■ sketch graphs of functions involving modulus functions
■ solve equations and inequalities involving modulus functions.
In general, a translation of -
transforms the graph of
y f(x) into the graph of y f(x -
a) b.
a
b
The graph of y f(x) is transformed into the graph of
y -
f(x) by a reflection in the line y 0 (the x-axis).
The graph of y f(x) is transformed into the graph of
y f(-
x) by a reflection in the line x 0 (the y-axis).