Stretches and compressions of the parent function
f (
x ) =
bx
For any factor
the function
is stretched vertically by a factor of
if
is compressed vertically by a factor of
if
has a
y -intercept of
has a horizontal asymptote at
a range of
and a domain of
which are unchanged from the parent function.
Graphing the stretch of an exponential function
Sketch a graph of
State the domain, range, and asymptote.
Before graphing, identify the behavior and key points on the graph.
Since
is between zero and one, the left tail of the graph will increase without bound as
decreases, and the right tail will approach the
x -axis as
increases.
Since
the graph of
will be stretched by a factor of
In addition to shifting, compressing, and stretching a graph, we can also reflect it about the
x -axis or the
y -axis. When we multiply the parent function
by
we get a reflection about the
x -axis. When we multiply the input by
we get a
reflection about the
y -axis. For example, if we begin by graphing the parent function
we can then graph the two reflections alongside it. The reflection about the
x -axis,
is shown on the left side of
[link] , and the reflection about the
y -axis
is shown on the right side of
[link] .
Reflections of the parent function
f (
x ) =
bx
The function
reflects the parent function
about the
x -axis.
has a
y -intercept of
has a range of
has a horizontal asymptote at
and domain of
which are unchanged from the parent function.
The function
reflects the parent function
about the
y -axis.
has a
y -intercept of
a horizontal asymptote at
a range of
and a domain of
which are unchanged from the parent function.
Writing and graphing the reflection of an exponential function
Find and graph the equation for a function,
that reflects
about the
x -axis. State its domain, range, and asymptote.
Since we want to reflect the parent function
about the
x- axis, we multiply
by
to get,
Next we create a table of points as in
[link] .
Plot the
y- intercept,
along with two other points. We can use
and
Draw a smooth curve connecting the points:
The domain is
the range is
the horizontal asymptote is
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life