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morpeh [17]
2 years ago
14

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x2 to the number of x-intercepts in

the graph of g(x) = x2 +2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Mathematics
1 answer:
Natalija [7]2 years ago
7 0
Important:  Please use " ^ " to indicate exponentiation:

<span>"f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2."

Notes:  the graph of f(x) = x^2 is a vertical parabola that opens up.  It has its vertex at (0,0).  This is the only point at which f(x)=x^2 has a horiz. intercept.

g(x) = x^2 + 2 has a graph that looks the same as that of f(x) = x^2, EXCEPT that the whole graph is moved 2 units UP.  This new graph never touches or intersects the x-axis.  Therefore, g(x) has NO horiz. intercepts (no x-int.).

</span>
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The sets of data below show the heights, in inches, of students in two different preschool classes. A box plot titled Class 1. T
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Answer:

• Because the sets are not symmetrical, the IQR should be used to compare the data sets.

• Because the sets contain outliers, the median should be used to compare the data sets.

• The mean and mode cannot be accurately determined based on the type of data display.

Step-by-step explanation:

When we observe the set of given data above, we can denote that the data obtained by comparing the height of students from class 1 and class 2 would not be similar hence we can say this obtained data is not symmetrical.

Due to the fact that this data is is obtained from different classes it is certain that there would be variations in the data when measuring the heights of the students and an error may occurs. These variations are referred to as OUTLIERS.

Therefore, Median or Interquartile range is the appropriate measure to be used for comparing the data sets.

8 0
2 years ago
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What is the y-intercept of line MN?<br><br> What is the equation of MN written in standard form?
bagirrra123 [75]

Answer:

y-intercept of the line MN = 2

Standard form of the equation ⇒ x + y = 2

Step-by-step explanation:

Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)

Slope of a line = \frac{y_2-y_1}{x_2-x_1}

                        = \frac{5-0}{-3-2}

                        = -1

Equation of the line MN passing through (-3, 5) and slope = -1,

y - 5 = (-1)(x + 3)

y - 5 = -x - 3

y = -x + 2

This equation is in the y-intercept form,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, y-intercept of the line MN = 2

Equation in the standard form,

x + y = 2

8 0
2 years ago
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Today, Reza ate 20 grapes, which was 400% as many grapes as he ate yesterday. Explain how to use equivalent ratios to find the n
Yanka [14]
What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.
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 answer
 the number of grapes Reza ate yesterday was 5
3 0
2 years ago
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On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Tr
Reptile [31]

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

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If a histogram of a sample of​ men's ages is​ skewed, what do you expect to see in the normal quantile​ plot?
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Answer: Points are not following a straight-line pattern

Step-by-step explanation:

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