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Leviafan [203]
2 years ago
8

Marcus works at a clothing store and gets an employee discount. The price

Mathematics
1 answer:
dybincka [34]2 years ago
3 0

9514 1404 393

Answer:

  d(32) = 28.80

  the price Marcus pays on an item with an original price of 32

Step-by-step explanation:

  d(32) = 32 -0.1(32)

  d(32) = 28.8

The problem statement tells you d(32) is the price Marcus pays when the original price is 32.

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0.007

Step-by-step explanation:

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If the sin 30° is 1/2, then the cos ____° = _____. A. 60° , 1/2 B. 30° , square root of 2/ 2 C. 60° , square root of 3/ 2 D. 30°
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What is the transformation of f(x)= x^3:
mariarad [96]

Answer:

7.  Down 5

8.  Horizontal reflection

9.  Vertical stretch by a factor of 5

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

<u>Transformations</u>

For a > 0

f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}

f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}

f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a

y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}

y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}

y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}

Identify the transformations that take the parent function to the given function.

<u>Question 7</u>

\textsf{Parent function}: \quad f(x)=x^3

\textsf{Given function}: \quad f(x)=x^3-5

Comparing the parent function with the given function, we can see that 5 has been <u>subtracted from the parent function</u>.

Therefore, the transformation is:

f(x)-5 \implies f(x) \: \textsf{translated}\:5\:\textsf{units down}

<u>Question 8</u>

\textsf{Parent function}: \quad f(x)=x^3

\textsf{Given function}: \quad f(x)=-x^3

Comparing the parent function with the given function, we can see that the <u>parent function has been multiplied by -1</u>.

Therefore, the transformation is:

y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}

<u>Question 9</u>

\textsf{Parent function}: \quad f(x)=x^3

\textsf{Given function}: \quad f(x)=5x^3

Comparing the parent function with the given function, we can see that the <u>parent function has been multiplied by 5.</u>

Therefore, the transformation is:

y=5\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:5

Learn more about graph transformations here:

brainly.com/question/27845947

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