Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function
and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:
![f|x-h|=\text{Graph shifted to right by h units}](https://tex.z-dn.net/?f=f%7Cx-h%7C%3D%5Ctext%7BGraph%20shifted%20to%20right%20by%20h%20units%7D)
![f|x|+h=\text{ Graph shifted upward by h units}](https://tex.z-dn.net/?f=f%7Cx%7C%2Bh%3D%5Ctext%7B%20Graph%20shifted%20upward%20by%20h%20units%7D)
![f|x|-h=\text{ Graph shifted down by h units}](https://tex.z-dn.net/?f=f%7Cx%7C-h%3D%5Ctext%7B%20Graph%20shifted%20down%20by%20h%20units%7D)
Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.
![f(x)=|x--2|+4](https://tex.z-dn.net/?f=f%28x%29%3D%7Cx--2%7C%2B4)
Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
Answer:
Option A. 17.6%
Step-by-step explanation:
Since it is given that stems are in whole percent and leaves are tenths of percent which means if we take the first steam value of 5 7;
it means that 5 is whole percent and 7 will be written as
= 0.7 percent which as a whole indicate that the first stem leaf represent 5.7% of residents aged 65 and over.
Now the highest percent of older residents for Florida will be the last stem leaf in the data given as 17 + 0.6 will represent 17.6% which is the highest among all others.
5.7% is the lowest of them all and there is no value as of 176% in the given stem leaf plot data.
Therefore option A id correct with 17.6% percent as of Florida.
Answer: 11 because the distance between A-B is 8 so because it says it on top, then add 3 to it from B to C
Answer: 60% increase followed by a 40% decrease belongs in less than original. A 50% increase followed by a 33 1/3 decrease also belong in less than original. A $20 decrease followed by a $20 increase belongs in same as original. A 75% decrease followed by a 50% increase belongs in less than original. A 100% increase followed by a 33 1/3 decrease belongs in less than original.
Step-by-step explanation:
Hope this helps :)
It's A.....................................................