Integrated math 2 Pythagorean Theorem Independent Practice-2
1 answer:
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Here are all the steps, and what they do:
STEP 1: HORIZONTAL TRANSLATION
We transform
The general transformation is
These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.
In this case, k = -1, so we translate the original graph 1 unit to the right.
STEP 2: VERTICAL STRETCH
We transform
The general transformation is
These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.
In this case, k = 3, so we stretch the graph vertically by a factor 3.
STEP 3: VERTICAL TRANSLATION
We transform
The general transformation is
These transformations translate the graph vertically, k units up if k>0, k units down if k<0.
In this case, k = 4, so we translate the graph 4 units up.
So, we start from the original graph of and we:
- Translate it 1 unit to the right
- Stretch it vertically by a factor 3
- Translate it 4 units up
(the order is important!)
to get the graph of
Answer:
See explanation and results below.
Step-by-step explanation:
We have the following data:
Age (yr) when award was won Frequency 25-34 31 35-44 36 45-54 12 55-64 4 65-74 6 75-84 1 85-94 2
If we order the data we got the following result. We assume that the midpoint is given by:
The
And the limits are given by the lower and upper limit.
L.Limit U.Limit Class W Midpoint Frequency Limits
25 34 34-25=9 29.5 31 [25-34]
35 44 44-35=9 39.5 36 [35-44]
45 54 54-45=9 49.5 12 [45-54]
55 64 64-55=9 59.5 4 [55-64]
65 74 74-65=9 69.5 6 [65-74]
75 84 84-75=9 79.5 1 [75-84]
85 94 94-85=9 89.5 2 [85-94]