QuestionWhat type of transformation occurs when all outputs of a parent function are increased by 5?
Studdy Solution
STEP 1
Assumptions1. We are dealing with a parent function, which is a basic function that is used as a building block for more complex functions. . All the outputs of the parent function are increased by5.
STEP 2
In terms of transformations, there are four primary types translations (shifts), reflections, dilations (stretches/shrinks), and rotations.
STEP 3
A translation occurs when every point in a function is moved in the same direction and by the same amount. This can be a shift up or down (vertical translation), or a shift left or right (horizontal translation).
STEP 4
In this case, all the outputs of the parent function are increased by. This means that every y-value (output) is units higher than it was in the parent function.
STEP 5
This is an example of a vertical translation, specifically a shift up.
The transformation is a vertical shift up by5 units.
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