Answer:
C.
Step-by-step explanation:
As seen below, the equation of a circle is (x - h)^2 + (y - k)2 = r^2.
In this case, h = the x-value of the center of the circle, which is -2, and k = the y-value of the center of the circle, which is 3. The radius r is 4.
(x - (-2))^2 + (y - (3))^2 = (4)^2
(x + 2)^2 + (y - 3)^2 = 16
This corresponds to answer choice C.
Hope this helps!
(fog)(x) = f[g(x)] ...................
Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Answer:
b = 4
Step-by-step explanation:
3 - b = 6 - 7
3 - b = -1
-b = -1 -3
-b = -4
b = 4
Answer:
(0,2.3) if only one choice expected.
(0,2.3) and (0,0) if "all that apply" expected, since (0,0) is also a vertex of the green region.
Step-by-step explanation:
From the attached diagram, the given answer optsions are shown in brown.
The red line shows the optimal combinations of the two variables, hence a maximization problem.
Out of the four answer options, two coincide with a vertice of the valid region (shown in green), namely (0,0) and (0, 2.3).
Out of the two indicated options which correspond to a vertex, the origin (0,0) is usually ignored for a maximization problem, which leaves us with (0,2.3) as the answer.