Answer:
- Parent Function:
- Horizontal shift: right 3 units
- Vertical shift: up 3 units
- Reflection about the x-axis: none
- Vertical strech: streched
Step-by-step explanation:
assume that is and is
The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.
factor a 1 out of the absolute value to make the coefficient of x equal to 1
factor a 2 out of the absolute value to make the coefficient of x equal to 1
find a, h and k for
the horizontal shift depends on the value of h when , the horizontal shift is described as:
- the graph is shifted to the left h units
- the graph is shifted to the right h units
the vertical shift depends on the value of k
The box and whisker plot is attached.
We first order the data from least to greatest:
6, 7, 11, 13, 14, 15, 15, 19, 21
The median is the middle value, or 14.
The lower quartile is the median of the lower half (split by the median). This is between 7 and 11: (7+11)/2 = 18/2 = 9
The upper quartile is the median of the upper half (split by the median). This is between 15 and 19: (15+19)/2 = 34/2 = 17
The highest value is 21.
The lowest value is 6.
We draw the middle line of the box at 14, the median. We draw the left side of the box at the lower quartile, 9. We draw the right side of the box at the upper quartile, 17. From the right side of the box, we draw a whisker to the highest value, 21. From the left side of the box, we draw a whisker to the lowest value, 6.
I'm not sure what you mean by difference, so I am guessing you meant to write "distance". If this is not the case, then feel free to report me. Anyway, to find the distance between two points you would use the distance formula.
Distance Formula: .
Let's substitute our point coordinates into the formula. We'll substitute -1 and 6 for x_2 and x_1, and 14 and 16 for y_2 and y_1. After substituting, your formula will now look like: .
Subtract the coordinates.
Square the subtracted coordinates.
Add 49 and 4.
Square root 53 and round the answer to the nearest tenth.
7.28 becomes 7.3.
7.3 units is the distance between points M and Z.
From the mean of 13,
the value of the stated summation will be given by:
(5.7-13)+(10.2-13)+(11.9-13)+(13.3-13)+(17.6-13)+(19.3-13)
=-7.3+(-2.8)+(-1.1)+0.3+4.6+6.3
=0
Hence the summation indicated also known as mean absolute deviation is 0.
Answer: C. 0
Step-by-step explanation:
a(n) = a +(n-1)d
a=20
d=26-20=6
°.° a(n) = 20 +(n–1)6
a(1) = 20 +(1–1)6=20
hope this helps