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iren [92.7K]
3 years ago
13

What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for pie.

Mathematics
2 answers:
stira [4]3 years ago
7 0

Answer:

18.84

Step-by-step explanation:

Vladimir79 [104]3 years ago
6 0

Answer:

18.84

Step-by-step explanation:

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Determine whether each set is finite or infinite. the set of fractions between 1 and 2.
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Plz help dicriminant of 3x^2-4x+2
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A piano has 88 keys. The ratio of white keys to black keys is 13.9. How many black keys does a piano have?
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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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