Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
1 answer:
Answer:
Option d
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If then the graph is compressed vertically by a factor c.
If then the graph is stretched vertically by a factor c.
If then the graph is reflected on the x axis.
If the graph moves vertically upwards.
If the graph moves vertically down
In this problem we have the function and our parent function is
therefore it is true that and
Therefore the graph of is not stretched vertically and is not reflected. however as
then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>
The answer is <em>"vertical translation down 9 units"</em>
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Answer:
(-0.1059 ; - 0.0337)
Step-by-step explanation:
The data table is attached in the picture below:
These is a matched pair design ; which requires taking the difference of the two values for each sample :
The mean and standard deviation of the difference will be used to construct the confidence interval :
The mean of difference, dbar = Σx/n = - 0.0698
The standard deviation of difference, Sd ;
Sd = [√Σ(d - dbar)²/(n-1)] = 0.1054
n = sample size = 25
The confidence interval :
dbar ± [TCritical * Sd/√n]
Tcritical at 90% ; df = n -1 = 25 -1
Tcritical(90% , 24) = 1.1711
C.I = - 0.0698 ± (1.711 * 0.1054/√25)
C.I = - 0.0698 ± 0.0361
C.I = (-0.1059 ; - 0.0337)
