In the previous examples, we used the standard form equation of a parabola to calculate the locations of its key features. We can also use the calculations in reverse to write an equation for a parabola when given its key features.
Given its focus and directrix, write the equation for a parabola in standard form.
Determine whether the axis of symmetry is the
x - or
y -axis.
If the given coordinates of the focus have the form
then the axis of symmetry is the
x -axis. Use the standard form
If the given coordinates of the focus have the form
then the axis of symmetry is the
y -axis. Use the standard form
Multiply
Substitute the value from Step 2 into the equation determined in Step 1.
Writing the equation of a parabola in standard form given its focus and directrix
What is the equation for the
parabola with
focus
and
directrix
The focus has the form
so the equation will have the form
Graphing parabolas with vertices not at the origin
Like other graphs we’ve worked with, the graph of a parabola can be translated. If a parabola is translated
units horizontally and
units vertically, the vertex will be
This translation results in the standard form of the equation we saw previously with
replaced by
and
replaced by
To graph parabolas with a vertex
other than the origin, we use the standard form
for parabolas that have an axis of symmetry parallel to the
x -axis, and
for parabolas that have an axis of symmetry parallel to the
y -axis. These standard forms are given below, along with their general graphs and key features.
Standard forms of parabolas with vertex (
h ,
k )
[link] and
[link] summarize the standard features of parabolas with a vertex at a point
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