9514 1404 393
Answer:
rectangle: 2x+2 wide by 2x high
triangle: 2 high
Step-by-step explanation:
Usually, a problem like this is asking you to find dimension expressions that combine to give you the given expression. There are usually a number of possibilities. Using the designators in the attached, we would generally like to have B > C and A about the same as C. That doesn't seem possible with the given factors.
__
The given quadratic expression factors as ...
area = 4x^2 +6x +2 = (2x+2)(2x +1)
This might be written to match the area formula as ...
(2x +2)(2x +2/2)
This would give A=2, B=2x+2, C=2x, as shown in the attachment.
The formula of an area of a triangle:
We have:
substitute:
The formula of an area of a circle:
We have 
Substitute:
The area of the shaded region
<h3>
Answer: C) 4</h3>
All points on the blue curve f(x) are shifted up 4 units to get corresponding points on the red curve g(x). For example, the point (0,-3) moves up 4 units to (0,1).
g(x) = f(x)+k
g(x) = f(x)+4
C. translated down 2 units
---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.
D. translated right 4 units
---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.
Hope this helps!
