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stepladder [879]
3 years ago
9

Describe the translation of the following function.Y = -1/3 |x + 4| - 2

Mathematics
2 answers:
katrin2010 [14]3 years ago
5 0
Y equals negative one over three. absolute value of x plus 4. minus 2
leva [86]3 years ago
4 0
Y=|x| is probably the original function
so we see
rewrite
y=-1/3(|x+4|+6)
we see that the whole function was multiplied by -1 and also by 1/3, so it is reflected across the x axis then vertically compressed by a factor of 1/3

see inside
|x+4|+6
 to move up, a units, add a to whole function
this is 6, it was moved up 6 units
to move right, c units, subtract c from every x
so it was moved to the right -4 units or 4 units to the left

so the transformation is

from y=|x| to y=-1/3|x+4|-2 is

move left 4 units
move up 6 units
compressed vertically by a factor of 1/3
reflected across x axis
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The square root of three is irrational.

Step-by-step explanation:

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The lines a and b intersect at point C.<br><br> What is the value of y?
Amanda [17]

Using the definition of vertical angles, the value of z is: 15.

<h3>Vertical Angles Pair</h3>

The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.

Thus:

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brainly.com/question/1673457

7 0
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Describe how the graph of f ( x ) = 1 x + 5 will differ from the graph of g (x) = 1/x
AleksandrR [38]

Answer:

parent function is the simplest form of the type of function given.

The transformation from the first equation to the second one can be found by finding , , and for each equation.

Find , , and for .

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- The graph is shifted to the left units.

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The vertical shift depends on the value of . The vertical shift is described as:

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5 0
2 years ago
Pls do it for me thank you so much
Bond [772]

Answer:

(a) Attached to this response.

(b)

<em>(i)</em> <em>0 cups = 0.275</em>

<em>(ii) 4 cups = 0.125</em>

<em>(iii) 8 cups = 0.025</em>

<em />

<em />

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

<em>(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;</em>

the relative frequency of 0<em> = 0.275</em>

<em></em>

<em>(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;</em>

the relative frequency of 4<em> = 0.125</em>

<em>(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;</em>

the relative frequency of 8<em> = 0.025</em>

<em></em>

<em></em>

<em></em>

Download docx
5 0
3 years ago
Do you guys do proofs for math.
Sever21 [200]

Answer:

no lol but what do u need help with

8 0
3 years ago
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