Answer:
Step-by-step explanation:
It is given that the graph corresponds to a natural logarithmic function.
That means, the function 
has a natural log (Log with base 
) of some terms of x.
It is given that asymptote of given curve is at 
. i.e. when we put value
, the function will have a value 
.
We know that natural log of 0 is not defined.
So, we can say the following:
is not defined at
i.e. 
is the point where
a = 3
Hence, the function becomes:
Also, given that the graph crosses x axis at x = -2
When we put x = -2 in the function:
And y axis at 1.
Put x = 0, we should get y = 1
So, the function is:
Answer:
The answer is the option B
It is wider and shifted 
units to the right
Step-by-step explanation:
we have
The vertex of the function is the point 
The vertex of the function is the point 
The function is wider than the function
Because it is multiplied by a number less than 
The rule of the translation is
That means
The translation is units to the right
see the attached figure to better understand the problem
Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola
is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is
where 
is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is
By definition, the length of the latus rectum is four times the focal length so therefore, its value is
LN=8 because every time there is a midpoint you have to divide it in half. So 64,32,16,8
