Answer:
a) y = |x/2 -2| +4
b) y = |x/2 -2| +2
c) y = |(x+1)/2 -2| +3
d) y = |(x-1)/2 -2| +3
Step-by-step explanation:
To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...
g(x) = f(x -h) +k
<u>a) one unit up</u>
Add 1 to the function value.
![y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}](https://tex.z-dn.net/?f=y%3D%5Cleft%7C%5Cdfrac%7Bx%7D%7B2%7D-2%5Cright%7C%2B3%2B1%5C%5C%5C%5C%5Cboxed%7By%3D%5Cleft%7C%5Cdfrac%7Bx%7D%7B2%7D-2%5Cright%7C%2B4%7D)
<u>b) one unit down</u>
Subtract 1 from the function value.
![y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}](https://tex.z-dn.net/?f=y%3D%5Cleft%7C%5Cdfrac%7Bx%7D%7B2%7D-2%5Cright%7C%2B3-1%5C%5C%5C%5C%5Cboxed%7By%3D%5Cleft%7C%5Cdfrac%7Bx%7D%7B2%7D-2%5Cright%7C%2B2%7D)
<u>c) one unit left</u>
Replace x with x-(-1).
![y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}](https://tex.z-dn.net/?f=y%3D%5Cleft%7C%5Cdfrac%7Bx-%28-1%29%7D%7B2%7D-2%5Cright%7C%2B3%5C%5C%5C%5C%5Cboxed%7By%3D%5Cleft%7C%5Cdfrac%7Bx%2B1%7D%7B2%7D-2%5Cright%7C%2B3%7D)
<u>d) one unit right</u>
Replace x with x-1.
![\boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Cleft%7C%5Cdfrac%7Bx-1%7D%7B2%7D-2%5Cright%7C%2B3%7D)
Answer:
The correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.
Step-by-step explanation:
Consider the provided information.
Simone measures the width of one of cardboard strip as 1/2 yard.
A second cardboard strip measures 5/6 yard in width.
We need to find the combined width.
The combined width of the cardboard strip:
![\frac{1}{2} + \frac{5}{6}=\frac{8}{6}=1\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B5%7D%7B6%7D%3D%5Cfrac%7B8%7D%7B6%7D%3D1%5Cfrac%7B1%7D%7B3%7D)
is closer to
as compare to ![1\frac{1}{2}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B2%7D)
Hence, the correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.
The line of reflection is b
You can see it much easier if take away all the clutter. Redraw the diagram and take way a d and especially c.
You should be left with only line b and the two triangles. You can see it much easier if you do that. Then just look at the parallel lines of the triangles. They are right across from each other.
Answer:
4,500,000 population in 1950
Step-by-step explanation:
the equation is 4p + 1,000,000 = 19,800,000