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2 years ago

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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0.007407 to 1 significant figure

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3 years ago

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.

Transformations

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.

Question 7

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

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

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

Therefore, the transformation is:

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

Question 8

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

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

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

Therefore, the transformation is:

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

Question 9

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

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

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

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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