Write an expression. That is the equivalent to 3/5 (3y + 15)
1 answer:
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Answer:
Shift 4 units down:
Stretching f(x) by 4 :
Shift 4 units left:
Compress by 1/4 units :
Step-by-step explanation:
Given
Required
Match the transformations (See attachment)
<u>Shift 4 units down</u>
Shifting down a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Stretching f(x) by 4 </u>
Stretching a function by some units is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Shift 4 units left</u>
Shifting a function to the left is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(x - 4)
Hence:
<u>Compress by 1/4 units </u>
This means that the function is stretched by
Compressing a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(4x)
Hence:
Answer:
Protraction and retraction are the movements of the mandibule. <em>Protraction is when the lower mandibule is pushed forward and retraction is when the lower jaw is pulled backward. </em>You can see in the image I added the example of these movements.
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