Answer:
These transformations do not change the size of the image.
Explanation:
By going over the different properties of translations, reflections and rotations, we can determine what exactly is common about each of these.
- Translations: the shifting of a function on the coordinate plane without any change in congruence, shape or size.
- In algebra, translations are seen most often in quadratic and linear functions, and always by adding or subtracting a number the function's
and/or
values. - ex.) In the parent function of standard-form quadratic equations,
, the value
would be considered a value that determines the function's vertical translation. It is a value that would move the equation up or down if changed.
- Reflection: the flipping of a function without any change of its overall shape or size.
- In algebra, a reflection is usually seen in vertical reflections across the
-axis. - ex.) The
in standard-form quadratic equations is an example of a reflection across the
-axis. If it's sign is changed (if it is changed from negative to positive and vise-versa), then the equation would be flipped across the
-axis.
- Rotation: the change of a function's rotation without any change in its size, shape or location.
- Rotations, are most often seen in linear equations with a line's slope.
- ex.) In the standard form linear function,
,
or the line's slope changes the rotation of the function.
Translation, reflection and rotation all do not change the size of the function/shape they are acting on. Thus, Answer D is correct.