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Yakvenalex [24]
1 year ago
12

The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x). How does the graph of g(x) compare to the gra

ph of f(x)?
a) g(x) is stretched horizontally and reflected over the y-axis.
b) g(x) is stretched horizontally and reflected over the x-axis.
c) g(x) is compressed horizontally and reflected over the y-axis.
d) g(x) is compressed horizontally and reflected over the x-axis.
Mathematics
2 answers:
Anni [7]1 year ago
8 0

Answer:

b) g(x) is stretched horizontally and reflected over the x-axis.

Step-by-step explanation:

The given parent function is

f(x) =  {x}^{3}

The transformed function is

g(x) = f (- 2x)

We want to see how the transformed graph compares with the parent graph.

The negation inside means all x-coordinates we're negated.

This means, there is a reflection in the y-axis.

The factor of 2 within the function means a horizontal stretch by a factor of 1/2.

The correct answer is B.

Sophie [7]1 year ago
5 0

Answer:

It's C. g(x) is compressed horizontally and reflected over the y-axis.

Step-by-step explanation:

I just got it correct on e2020

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Answer:

2400 lbs

Step-by-step explanation:

To find the best estimate, you have to round the numbers to the nearest ten.

39 -> 40

58 -> 60

40 x 60 = 2400

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We suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in y
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Answer:

D) a chi square test for independence.

Step-by-step explanation:

Given that we  suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in years), so we choose a random sample of drivers who have similar automobile insurance coverage and collect data about their ages and insurance premiums.

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A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, −3) and Boat B is docked at (−3.4, −3). The boats are _
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In a completely randomized experimental design involving three assembly methods, 30 employees were randomly selected and 10 were
AnnZ [28]

Answer:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have 3 groups and on each group from j=1,\dots,10 we have 10 individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

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SST=SS_{between}+SS_{within}

Where SST represent the total sum of squares.  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1=3-1=2 where k =3 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=30-3=27.  

And the total degrees of freedom would be df=N-1=30 -1 =29  

From the info given we know that MSR=\frac{SSR}{2}=45.89

And MSE=\frac{SSE}{27}=6.27

From definition the F statisitc is defined as:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

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