QuestionFind the new function after shifting right 1 unit, stretching by 5, and reflecting over the -axis.
Studdy Solution
STEP 1
Assumptions1. The parent function is .
. The function is shifted1 unit to the right.
3. The function is vertically stretched by a factor of5.
4. The function is reflected over the -axis.
STEP 2
First, let's understand what each transformation does to the function.- A shift1 unit to the right changes to . - A vertical stretch by a factor of5 changes to . - A reflection over the -axis changes to .
STEP 3
Now, let's apply these transformations one by one to the parent function .First, apply the shift1 unit to the right. This changes to .
STEP 4
Next, apply the vertical stretch by a factor of. This changes to .
STEP 5
Finally, apply the reflection over the -axis. This changes to .
STEP 6
So, the equation of the new function after applying all the transformations is .
Looking at the options, the correct answer is option B .
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