Answer:
Vertical shift is 2 units top and horizontal shift is 
units to the right
Step-by-step explanation:
Consider the function f(x) = a cos(bx + c) + d.
In this graph, the horizontal shift is -c/b and the vertical shift is d.
Let's compare our graph, f(x) = -3 cos(2x - π) + 2 with this graph.
Here, a = -3, b = 2, c = -π and d = 2.
So, vertical shift = d = 2 units top and
horizontal shift = 
units to the right.
Answer:
y = (∛x)/3
Step-by-step explanation:
To undo the multiplication by 27, you multiply by its inverse:
(1/27)y = (1/27)(27x^3)
y/27 = x^3 . . . . . . . . . . . simplify
To undo the cube, you take the cube root:
(∛y)/(∛27) = ∛(x^3)
(∛y)/3 = x
Apparently, you want the inverse function, so you swap the variables:
y = (∛x)/3
_____
You can swap the variables at the beginning or end. It doesn't matter. If you do it at the beginning, you have ...
x = 27y^3
and you're solving for y. You use the same inverse operations that we used above.
With the spending on wars, the aggregate demand falls and the curve will shift towards the left because the production of other goods will reduce in the economy.
<u>Explanation:</u>
When the government of a country spends on the war or the making of the weapons for the war, then the overall working of the economy is affected because the production of goods and services reduces compared to the normal production of goods and services.
With the fall in the production of the goods and the services, the demand also reduces because the overall income of the economy falls. The resources are used to produce war weapons and not consumer goods thus leading to fall in employment, income and so on. Thus the demand curve will shift to the left.
Answer:
For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.
The new coordinates will be
A(-4,10)
B(4,10)
C(-4,4)
D(4,4)
Step-by-step explanation:
The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).
