For any positive numbers a, b, and d, with b not equal to 1, log base b (a/d) = A. Log base b a * log base b d B. Log base b a + log base b d C. Log base b a - log base b d D. D * log base b a

C. Log base b (a) - Log base b (d)

Step-by-step explanation:

In logarithm, log means index or exponent. It can be explained with following example. Consider 2^5 = 32

here index = log = 5 so you can write the log of 32 = 5

Consider 64/16 = 4

now 64 = 2^6 and 16 = 2^4

We can write log 2(64) = 6 and log2(16)=4

Now log 64/16= log 4= 2

Also log2(64)-log2(16)=6-4=2

Therefore

Log base b (a/d) = Log base b (a) - Log base b (d)

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

the answer is a

step-by-step explanation: