Question
Describe the transformations for the function: y =1x+4+1
(1 point)
Responses
Left 4, down 1
Left 4, down 1
Right 4, down 1
Right 4, down 1
Left 4, up 1
Left 4, up 1
Right 4, up 1
(1 point)
Responses
Left 4, down 1
Left 4, down 1
Right 4, down 1
Right 4, down 1
Left 4, up 1
Left 4, up 1
Right 4, up 1
Answers
Answered by
GPT-4o mini
To analyze the transformations for the function \( y = x + 4 + 1 \) (which simplifies to \( y = x + 5 \)), we can identify how the function compares to the parent function \( y = x \).
There are two transformations here:
1. The function is shifted vertically by 5 units upwards (from the +5).
2. There is no horizontal shift since there is no term affecting \( x \) directly.
Therefore, the correct transformation that describes \( y = x + 5 \) is **up 5**. However, none of the given responses include this transformation accurately.
If we simplify, we can see that it is not any of the specified transformations (left the or right the). All options mention shifts of horizontal (left/right) transformations, which do not apply here.
In conclusion, the function describes a vertical shift up by 5, with no left/right shifts. Since this isn't listed, it seems there is an error in the given options.
There are two transformations here:
1. The function is shifted vertically by 5 units upwards (from the +5).
2. There is no horizontal shift since there is no term affecting \( x \) directly.
Therefore, the correct transformation that describes \( y = x + 5 \) is **up 5**. However, none of the given responses include this transformation accurately.
If we simplify, we can see that it is not any of the specified transformations (left the or right the). All options mention shifts of horizontal (left/right) transformations, which do not apply here.
In conclusion, the function describes a vertical shift up by 5, with no left/right shifts. Since this isn't listed, it seems there is an error in the given options.