Write and equation of the translated or rotated graph in general form (picture below)

Option b

Step-by-step explanation:

The equation has center in (0,0).

But the transformation shifts the center of the equation to the point (5, -6).

Therefore, when applying we will have the following equation translated.

.

Simplifying we have:

Now we expand and

The equation of a circle has the form

For h = 1 and q = 1.

If and then the graph becomes an ellipse.

In this problem h = 4 and q = 5 therefore the figure is an ellipse

answer: i don't understand it

step-by-step explanation: sorry

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)