The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W
2 answers:
Answer: OPTION D.
Step-by-step explanation:
Below are some transformations for a function f(x):
If , then the function is reflected over the x-axis.
If , then the function is reflected over the y-axis.
If and
, then the function is horizontally compressed.
If and
, then the function is horizontally stretched.
In this case you know that the parent function is:
According to the information given in the exercise, the parent function IS horizontally stretched by a factor of and it is also reflected over the y-axis.
Therefore, based on the transformations explained before, you can notice that the transformation is:
Where
Therefore, the equation of the transformed function is:
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Prime factor is a factor that is a prime number.
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8 : 2 × 2 × 2. Also can be written as
12 : 2 × 2 × 3. Also can be written as
20 : 2 × 2 × 5. Also can be written as
30 : 2 × 3 × 5
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Prime factors of :
8 : 2 × 2 × 2. Also can be written as
12 : 2 × 2 × 3. Also can be written as
20 : 2 × 2 × 5. Also can be written as
30 : 2 × 3 × 5
56 : 2 × 2 × 2 ×7. Also can be written as
70 : 2 × 5 × 7
You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.